The Resource Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory, edited by Gebhard Böckle, Wolfram Decker, Gunter Malle, (electronic resource)
Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory, edited by Gebhard Böckle, Wolfram Decker, Gunter Malle, (electronic resource)
Resource Information
The item Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory, edited by Gebhard Böckle, Wolfram Decker, Gunter Malle, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.This item is available to borrow from 1 library branch.
Resource Information
The item Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory, edited by Gebhard Böckle, Wolfram Decker, Gunter Malle, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.
This item is available to borrow from 1 library branch.
 Summary
 This book presents stateoftheart 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.
 Language
 eng
 Extent
 1 online resource (IX, 763 pages)
 Contents

 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 20132016
 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. FruehbisKrüger 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 Wgraph 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. LangeHegermann et al: The differential dimension polynomial for characterizable differential ideals
 V. Levandovskyy: Factorization of Zhomogeneous polynomials in the first qWeyl 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 twodimensional 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 MordellWeil 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
 Isbn
 9783319705668
 Label
 Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory
 Title
 Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory
 Statement of responsibility
 edited by Gebhard Böckle, Wolfram Decker, Gunter Malle
 Language
 eng
 Summary
 This book presents stateoftheart 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.
 Assigning source
 Provided by publisher
 Image bit depth
 0
 Literary form
 non fiction
 Nature of contents
 dictionaries
 http://library.link/vocab/relatedWorkOrContributorName

 Böckle, Gebhard
 Decker, Wolfram
 Malle, Gunter
 Series statement

 Springer eBooks
 Springer eBooks.
 http://library.link/vocab/subjectName

 Geometry, algebraic
 Algebra
 Group theory
 Number theory
 Label
 Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory, edited by Gebhard Böckle, Wolfram Decker, Gunter Malle, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 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 20132016  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. FruehbisKrüger 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 Wgraph 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. LangeHegermann et al: The differential dimension polynomial for characterizable differential ideals  V. Levandovskyy: Factorization of Zhomogeneous polynomials in the first qWeyl 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 twodimensional 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 MordellWeil 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
 Control code
 9783319705668
 Dimensions
 unknown
 Extent
 1 online resource (IX, 763 pages)
 File format
 multiple file formats
 Form of item

 online
 electronic
 Governing access note
 Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, noncommercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
 Isbn
 9783319705668
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other physical details
 113 illustrations, 16 illustrations in color.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)1029545790
 Label
 Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory, edited by Gebhard Böckle, Wolfram Decker, Gunter Malle, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 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 20132016  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. FruehbisKrüger 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 Wgraph 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. LangeHegermann et al: The differential dimension polynomial for characterizable differential ideals  V. Levandovskyy: Factorization of Zhomogeneous polynomials in the first qWeyl 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 twodimensional 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 MordellWeil 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
 Control code
 9783319705668
 Dimensions
 unknown
 Extent
 1 online resource (IX, 763 pages)
 File format
 multiple file formats
 Form of item

 online
 electronic
 Governing access note
 Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, noncommercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
 Isbn
 9783319705668
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other physical details
 113 illustrations, 16 illustrations in color.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)1029545790
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.eui.eu/portal/AlgorithmicandExperimentalMethodsinAlgebra/WzATQAoNw8/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.eui.eu/portal/AlgorithmicandExperimentalMethodsinAlgebra/WzATQAoNw8/">Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory, edited by Gebhard Böckle, Wolfram Decker, Gunter Malle, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.eui.eu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.eui.eu/">European University Institute</a></span></span></span></span></div>