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Autor Decker, Wolfram |
Documentos disponibles escritos por este autor (2)
Crear una solicitud de compra Refinar búsquedaAlgorithmic and Experimental Methods in Algebra, Geometry, and Number Theory / Böckle, Gebhard ; Decker, Wolfram ; Malle, Gunter
TÃtulo : Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory Tipo de documento: documento electrónico Autores: Böckle, Gebhard, ; Decker, Wolfram, ; Malle, Gunter, Mención de edición: 1 ed. Editorial: [s.l.] : Springer Fecha de publicación: 2017 Número de páginas: IX, 763 p. 113 ilustraciones, 16 ilustraciones en color. ISBN/ISSN/DL: 978-3-319-70566-8 Nota general: Libro disponible en la plataforma SpringerLink. Descarga y lectura en formatos PDF, HTML y ePub. Descarga completa o por capítulos. Idioma : Inglés (eng) Palabras clave: geometrÃa algebraica Ãlgebra conmutativa Anillos conmutativos teorÃa de grupos TeorÃa de los números Anillos conmutativos y álgebras TeorÃa de grupos y generalizaciones. Clasificación: 516.35 Resumen: Este libro presenta artÃculos de investigación y encuestas de última generación que destacan el trabajo realizado dentro del Programa Prioritario SPP 1489 "Métodos algorÃtmicos y experimentales en álgebra, geometrÃa y teorÃa de números", que fue establecido y apoyado generosamente por la Fundación Alemana de Investigación ( DFG) de 2010 a 2016. El objetivo del programa era avanzar sustancialmente en los métodos algorÃtmicos y experimentales en las disciplinas antes mencionadas, combinar los diferentes métodos cuando fuera necesario y aplicarlos a cuestiones centrales en la teorÃa y la práctica. De particular preocupación fue el mayor desarrollo de sistemas de álgebra informática de código abierto disponibles gratuitamente y su interacción para crear nuevas y poderosas herramientas computacionales que trasciendan los lÃmites de las disciplinas individuales involucradas. El libro cubre una amplia gama de temas que abordan el diseño y los fundamentos teóricos, la implementación y la aplicación exitosa de algoritmos algebraicos para resolver problemas de investigación matemática. Ofrece un recurso valioso para todos los investigadores, desde estudiantes de posgrado hasta expertos establecidos, que estén interesados ​​en los aspectos computacionales del álgebra, la geometrÃa y/o la teorÃa de números. Nota de contenido: Introduction -- Bächle et al: Algorithmic aspects of units in group rings -- M. Barakat et al: A constructice approach to the module of twisted glocal sections on relative projective spaces -- J. Böhm et al: Local to global algorithms for the Gorenstein adjoint ideal of a curve -- M. Börner et al: Picard curves with small conductor -- W. Bruns et al: Normaliz 2013-2016 -- T. Centeleghe et al: Integral Frobenius for abelian varieties with real multiplication -- M. Dettweiler et al: Monodromy of the multiplicative and the additive convolution -- B. Eick et al: Constructing groups of 'small' order: Recent results and open problems -- B. Eick et al: Classifying nilpotent associative algebras: small coclass and finite fields -- A. Fruehbis-Krüger et al: Desingularization of arithmetic surfaces: algorithmic aspects.- A. Gathmann et al: Moduli spaces of curves in tropical varieties -- A. Gathmann et al: Tropical moduli spaces of stable maps to a curve -- M. Geck et al: Invariant bilinear forms on W-graph representations and linear algebra over integral domains -- S. Hampe et al: Tropical computations in polymake -- M. Hoff: Focal schemes to families of secant spaces to canonical curves -- T. Hoge et al: Inductive and recursive freeness of localizations of multiarrangements -- L. Kastner: Toric ext and tor in polymake and Singular: The twodimensional case and beyond -- M. Lange-Hegermann et al: The differential dimension polynomial for characterizable differential ideals -- V. Levandovskyy: Factorization of Z-homogeneous polynomials in the first q-Weyl algebra -- E.W. Mayr et al: Complexity of membership problems of different types of polynomial ideals -- T. Moeller et al: Localizations of inductively factored arrangements -- G. Nebe et al: One class genera of lattice chains over number fields -- A. Paffenholz: polyDB: A database for polytopes and related objects -- G. G. Pfister et al: Construction of neron desingularization for two-dimensional rings. - T. Rossmann et al: A framework for computing zeta functions of groups, algebras, and modules -- A. Shalile: On decomposition numbers of diagram algebras -- U. Spreckels et al: Koblitz' conjecture for abelian varieties -- M. Stoll: Chabauty without the Mordell-Weil group -- M. Stoll: An explicit theory of heights for hyperelliptic Jacobians of genus three -- T. Theobald: Some recent developments in spectrahedral computation -- G. Wiese et al: Topics on modular Galois representations modulo prime powers. Tipo de medio : Computadora Summary : This book presents state-of-the-art research and survey articles that highlight work done within the Priority Program SPP 1489 "Algorithmic and Experimental Methods in Algebra, Geometry and Number Theory", which was established and generously supported by the German Research Foundation (DFG) from 2010 to 2016. The goal of the program was to substantially advance algorithmic and experimental methods in the aforementioned disciplines, to combine the different methods where necessary, and to apply them to central questions in theory and practice. Of particular concern was the further development of freely available open source computer algebra systems and their interaction in order to create powerful new computational tools that transcend the boundaries of the individual disciplines involved. The book covers a broad range of topics addressing the design and theoretical foundations, implementation and the successful application of algebraic algorithms in order to solve mathematical research problems. It offers a valuable resource for all researchers, from graduate students through established experts, who are interested in the computational aspects of algebra, geometry, and/or number theory. Enlace de acceso : https://link-springer-com.biblioproxy.umanizales.edu.co/referencework/10.1007/97 [...] Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory [documento electrónico] / Böckle, Gebhard, ; Decker, Wolfram, ; Malle, Gunter, . - 1 ed. . - [s.l.] : Springer, 2017 . - IX, 763 p. 113 ilustraciones, 16 ilustraciones en color.
ISBN : 978-3-319-70566-8
Libro disponible en la plataforma SpringerLink. Descarga y lectura en formatos PDF, HTML y ePub. Descarga completa o por capítulos.
Idioma : Inglés (eng)
Palabras clave: geometrÃa algebraica Ãlgebra conmutativa Anillos conmutativos teorÃa de grupos TeorÃa de los números Anillos conmutativos y álgebras TeorÃa de grupos y generalizaciones. Clasificación: 516.35 Resumen: Este libro presenta artÃculos de investigación y encuestas de última generación que destacan el trabajo realizado dentro del Programa Prioritario SPP 1489 "Métodos algorÃtmicos y experimentales en álgebra, geometrÃa y teorÃa de números", que fue establecido y apoyado generosamente por la Fundación Alemana de Investigación ( DFG) de 2010 a 2016. El objetivo del programa era avanzar sustancialmente en los métodos algorÃtmicos y experimentales en las disciplinas antes mencionadas, combinar los diferentes métodos cuando fuera necesario y aplicarlos a cuestiones centrales en la teorÃa y la práctica. De particular preocupación fue el mayor desarrollo de sistemas de álgebra informática de código abierto disponibles gratuitamente y su interacción para crear nuevas y poderosas herramientas computacionales que trasciendan los lÃmites de las disciplinas individuales involucradas. El libro cubre una amplia gama de temas que abordan el diseño y los fundamentos teóricos, la implementación y la aplicación exitosa de algoritmos algebraicos para resolver problemas de investigación matemática. Ofrece un recurso valioso para todos los investigadores, desde estudiantes de posgrado hasta expertos establecidos, que estén interesados ​​en los aspectos computacionales del álgebra, la geometrÃa y/o la teorÃa de números. Nota de contenido: Introduction -- Bächle et al: Algorithmic aspects of units in group rings -- M. Barakat et al: A constructice approach to the module of twisted glocal sections on relative projective spaces -- J. Böhm et al: Local to global algorithms for the Gorenstein adjoint ideal of a curve -- M. Börner et al: Picard curves with small conductor -- W. Bruns et al: Normaliz 2013-2016 -- T. Centeleghe et al: Integral Frobenius for abelian varieties with real multiplication -- M. Dettweiler et al: Monodromy of the multiplicative and the additive convolution -- B. Eick et al: Constructing groups of 'small' order: Recent results and open problems -- B. Eick et al: Classifying nilpotent associative algebras: small coclass and finite fields -- A. Fruehbis-Krüger et al: Desingularization of arithmetic surfaces: algorithmic aspects.- A. Gathmann et al: Moduli spaces of curves in tropical varieties -- A. Gathmann et al: Tropical moduli spaces of stable maps to a curve -- M. Geck et al: Invariant bilinear forms on W-graph representations and linear algebra over integral domains -- S. Hampe et al: Tropical computations in polymake -- M. Hoff: Focal schemes to families of secant spaces to canonical curves -- T. Hoge et al: Inductive and recursive freeness of localizations of multiarrangements -- L. Kastner: Toric ext and tor in polymake and Singular: The twodimensional case and beyond -- M. Lange-Hegermann et al: The differential dimension polynomial for characterizable differential ideals -- V. Levandovskyy: Factorization of Z-homogeneous polynomials in the first q-Weyl algebra -- E.W. Mayr et al: Complexity of membership problems of different types of polynomial ideals -- T. Moeller et al: Localizations of inductively factored arrangements -- G. Nebe et al: One class genera of lattice chains over number fields -- A. Paffenholz: polyDB: A database for polytopes and related objects -- G. G. Pfister et al: Construction of neron desingularization for two-dimensional rings. - T. Rossmann et al: A framework for computing zeta functions of groups, algebras, and modules -- A. Shalile: On decomposition numbers of diagram algebras -- U. Spreckels et al: Koblitz' conjecture for abelian varieties -- M. Stoll: Chabauty without the Mordell-Weil group -- M. Stoll: An explicit theory of heights for hyperelliptic Jacobians of genus three -- T. Theobald: Some recent developments in spectrahedral computation -- G. Wiese et al: Topics on modular Galois representations modulo prime powers. Tipo de medio : Computadora Summary : This book presents state-of-the-art research and survey articles that highlight work done within the Priority Program SPP 1489 "Algorithmic and Experimental Methods in Algebra, Geometry and Number Theory", which was established and generously supported by the German Research Foundation (DFG) from 2010 to 2016. The goal of the program was to substantially advance algorithmic and experimental methods in the aforementioned disciplines, to combine the different methods where necessary, and to apply them to central questions in theory and practice. Of particular concern was the further development of freely available open source computer algebra systems and their interaction in order to create powerful new computational tools that transcend the boundaries of the individual disciplines involved. The book covers a broad range of topics addressing the design and theoretical foundations, implementation and the successful application of algebraic algorithms in order to solve mathematical research problems. It offers a valuable resource for all researchers, from graduate students through established experts, who are interested in the computational aspects of algebra, geometry, and/or number theory. Enlace de acceso : https://link-springer-com.biblioproxy.umanizales.edu.co/referencework/10.1007/97 [...]
TÃtulo : Singularities and Computer Algebra : Festschrift for Gert-Martin Greuel on the Occasion of his 70th Birthday Tipo de documento: documento electrónico Autores: Decker, Wolfram, ; Pfister, Gerhard, ; Schulze, Mathias, Mención de edición: 1 ed. Editorial: [s.l.] : Springer Fecha de publicación: 2017 Número de páginas: XIV, 389 p. 55 ilustraciones, 19 ilustraciones en color. ISBN/ISSN/DL: 978-3-319-28829-1 Nota general: Libro disponible en la plataforma SpringerLink. Descarga y lectura en formatos PDF, HTML y ePub. Descarga completa o por capítulos. Idioma : Inglés (eng) Palabras clave: geometrÃa algebraica Ecuaciones diferenciales Clasificación: 516.35 Resumen: Este libro surgió de una conferencia sobre "Singularidades y álgebra informática" que se celebró en la Pfalz-Akademie Lambrecht en junio de 2015 en honor al 70 cumpleaños de Gert-Martin Greuel. Este volumen único presenta una colección de investigaciones originales recientes realizadas por algunas de las principales figuras de la teorÃa de la singularidad sobre una amplia gama de temas que incluyen aspectos topológicos y algebraicos, problemas de clasificación, teorÃa de la deformación y resolución de singularidades. Al mismo tiempo, los artÃculos destacan una variedad de técnicas, que van desde métodos teóricos hasta herramientas prácticas del álgebra informática. El propio Greuel hizo importantes contribuciones al desarrollo tanto de la teorÃa de la singularidad como del álgebra informática. Con Gerhard Pfister y Hans Schönemann, desarrolló el sistema de álgebra computacional SINGULAR, que desde entonces se ha convertido en la herramienta computacional elegida por muchos teóricos de la singularidad. El libro está dirigido a investigadores cuyo trabajo involucra la teorÃa de la singularidad y el álgebra informática desde el nivel de doctorado hasta el de experto. Nota de contenido: Gert-Martin Greuel's work, Duco van Straten -- Divisor class groups of affine complete intersections, Helmut Hamm -- Rational plane quartics and K3 surfaces, Viktor Kulikov -- Remarks on the Lê–Greuel formula for the Milnor number, José Seade -- Bi-Lipschitz regular complex space are regular, Lê DÅ©ng Tráng -- Enumeration of real algebraic curves, Eugenii Shustin -- A real analytic cell complex for the braid group, Norbert A'Campo -- Old and new regarding the Seiberg–Witten invariant conjecture, Andras Nemethi -- Multiplication by f in the Jacobian algebra as bindings in the spectrum of a hypersurface with an isolated singularity, Xavier Gomez-Mont -- Marked singularities, their moduli spaces, and atlases of stokes data, Claus Hertling -- Depth and regularity of powers of sums of ideals, Ngô Việt Trung -- Deforming non-normal isolated surface singularities, Jan Stevens -- Vanishing topology of Cohen–Macaulay codimension2 3-folds, Anne Frühbis-Krüger -- Equisingular moduli of rational surface singularities, Jonathan Wahl -- Algebraic bubbling for vector bundles on surfaces, Günter Trautmann -- Recombination formulas for the spectrum of plane curve singularities, Dmitry Kerner -- Minors and categorical resolutions, Yuri Drozd -- Resolutions of cubical varieties, Joseph Steenbrink -- Hypersurfaces with 1-dimensional singularities, Dirk Siersma -- Higher order Euler characteristics, their generalizations and generating series, Sabir Gusein-Zade -- Torsion free sheaves on degenerate elliptic curves and the classical Yang–Baxter equation, Igor Burban -- Normal lattice polytopes, Winfried Bruns -- Möbius strips, knots, pentagons, polyhedra and the SURFER, Stephan Klaus -- Computational D-module theory and singularities, Viktor Levandovskyy -- Orbifold zeta functions for dual invertible polynomials, Wolfgang Ebeling -- Polarity maps, singular subschemes, and applications, Antonio Campillo -- Parallelisation in Singular, Hans Schönemann -- Milnor number, discriminant and unfolding of isolated singularities in positive characteristic, Duc Nguyen. Tipo de medio : Computadora Summary : This book arose from a conference on "Singularities and Computer Algebra" which was held at the Pfalz-Akademie Lambrecht in June 2015 in honor of Gert-Martin Greuel's 70th birthday. This unique volume presents a collection of recent original research by some of the leading figures in singularity theory on a broad range of topics including topological and algebraic aspects, classification problems, deformation theory and resolution of singularities. At the same time, the articles highlight a variety of techniques, ranging from theoretical methods to practical tools from computer algebra. Greuel himself made major contributions to the development of both singularity theory and computer algebra. With Gerhard Pfister and Hans Schönemann, he developed the computer algebra system SINGULAR, which has since become the computational tool of choice for many singularity theorists. The book addresses researchers whose work involves singularity theory and computer algebra from the PhD to expert level. Enlace de acceso : https://link-springer-com.biblioproxy.umanizales.edu.co/referencework/10.1007/97 [...] Singularities and Computer Algebra : Festschrift for Gert-Martin Greuel on the Occasion of his 70th Birthday [documento electrónico] / Decker, Wolfram, ; Pfister, Gerhard, ; Schulze, Mathias, . - 1 ed. . - [s.l.] : Springer, 2017 . - XIV, 389 p. 55 ilustraciones, 19 ilustraciones en color.
ISBN : 978-3-319-28829-1
Libro disponible en la plataforma SpringerLink. Descarga y lectura en formatos PDF, HTML y ePub. Descarga completa o por capítulos.
Idioma : Inglés (eng)
Palabras clave: geometrÃa algebraica Ecuaciones diferenciales Clasificación: 516.35 Resumen: Este libro surgió de una conferencia sobre "Singularidades y álgebra informática" que se celebró en la Pfalz-Akademie Lambrecht en junio de 2015 en honor al 70 cumpleaños de Gert-Martin Greuel. Este volumen único presenta una colección de investigaciones originales recientes realizadas por algunas de las principales figuras de la teorÃa de la singularidad sobre una amplia gama de temas que incluyen aspectos topológicos y algebraicos, problemas de clasificación, teorÃa de la deformación y resolución de singularidades. Al mismo tiempo, los artÃculos destacan una variedad de técnicas, que van desde métodos teóricos hasta herramientas prácticas del álgebra informática. El propio Greuel hizo importantes contribuciones al desarrollo tanto de la teorÃa de la singularidad como del álgebra informática. Con Gerhard Pfister y Hans Schönemann, desarrolló el sistema de álgebra computacional SINGULAR, que desde entonces se ha convertido en la herramienta computacional elegida por muchos teóricos de la singularidad. El libro está dirigido a investigadores cuyo trabajo involucra la teorÃa de la singularidad y el álgebra informática desde el nivel de doctorado hasta el de experto. Nota de contenido: Gert-Martin Greuel's work, Duco van Straten -- Divisor class groups of affine complete intersections, Helmut Hamm -- Rational plane quartics and K3 surfaces, Viktor Kulikov -- Remarks on the Lê–Greuel formula for the Milnor number, José Seade -- Bi-Lipschitz regular complex space are regular, Lê DÅ©ng Tráng -- Enumeration of real algebraic curves, Eugenii Shustin -- A real analytic cell complex for the braid group, Norbert A'Campo -- Old and new regarding the Seiberg–Witten invariant conjecture, Andras Nemethi -- Multiplication by f in the Jacobian algebra as bindings in the spectrum of a hypersurface with an isolated singularity, Xavier Gomez-Mont -- Marked singularities, their moduli spaces, and atlases of stokes data, Claus Hertling -- Depth and regularity of powers of sums of ideals, Ngô Việt Trung -- Deforming non-normal isolated surface singularities, Jan Stevens -- Vanishing topology of Cohen–Macaulay codimension2 3-folds, Anne Frühbis-Krüger -- Equisingular moduli of rational surface singularities, Jonathan Wahl -- Algebraic bubbling for vector bundles on surfaces, Günter Trautmann -- Recombination formulas for the spectrum of plane curve singularities, Dmitry Kerner -- Minors and categorical resolutions, Yuri Drozd -- Resolutions of cubical varieties, Joseph Steenbrink -- Hypersurfaces with 1-dimensional singularities, Dirk Siersma -- Higher order Euler characteristics, their generalizations and generating series, Sabir Gusein-Zade -- Torsion free sheaves on degenerate elliptic curves and the classical Yang–Baxter equation, Igor Burban -- Normal lattice polytopes, Winfried Bruns -- Möbius strips, knots, pentagons, polyhedra and the SURFER, Stephan Klaus -- Computational D-module theory and singularities, Viktor Levandovskyy -- Orbifold zeta functions for dual invertible polynomials, Wolfgang Ebeling -- Polarity maps, singular subschemes, and applications, Antonio Campillo -- Parallelisation in Singular, Hans Schönemann -- Milnor number, discriminant and unfolding of isolated singularities in positive characteristic, Duc Nguyen. Tipo de medio : Computadora Summary : This book arose from a conference on "Singularities and Computer Algebra" which was held at the Pfalz-Akademie Lambrecht in June 2015 in honor of Gert-Martin Greuel's 70th birthday. This unique volume presents a collection of recent original research by some of the leading figures in singularity theory on a broad range of topics including topological and algebraic aspects, classification problems, deformation theory and resolution of singularities. At the same time, the articles highlight a variety of techniques, ranging from theoretical methods to practical tools from computer algebra. Greuel himself made major contributions to the development of both singularity theory and computer algebra. With Gerhard Pfister and Hans Schönemann, he developed the computer algebra system SINGULAR, which has since become the computational tool of choice for many singularity theorists. The book addresses researchers whose work involves singularity theory and computer algebra from the PhD to expert level. Enlace de acceso : https://link-springer-com.biblioproxy.umanizales.edu.co/referencework/10.1007/97 [...]
