Availability: Combinatorial aspects of commutative algebra and algebraic geometry

Combinatorial aspects of commutative algebra and algebraic geometry: Abel prisen

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Bibliographic Details
Other Authors:	Fløystad, Gunnar 1963- (Editor)
Format:	Conference Proceedings Book
Language:	English
Published:	Berlin ; Heidelberg Springer 2011
Series:	Abel symposia 6
Subjects:	Kommutative Algebra Kombinatorik Algebraische Geometrie Konferenzschrift > 2009 > Voss
Links:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027648101&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Item Description:	Literaturangaben
Physical Description:	XIV, 174 S. graph. Darst. 25 cm
ISBN:	9783642194917 3642194915

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MARC


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Record in the Search Index

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adam_text	IMAGE 1 CONTENTS THE CONE OF BETTI DIAGRAMS OF BIGRADED ARTINIAN MODULES OF CODIMENSION TWO 1 MATS BOIJ AND GUNNAR FL0YSTAD 1 INTRODUCTION 1 2 PRELIMINARIES 3 2.1 BETTI DIAGRAMS AND THE MULTIGRADED HERZOG-KIIHL EQUATIONS 3 2.2 THE EQUIVARIANT RESOLUTION 5 2.3 THE LINEAR SPACE OF BETTI DIAGRAMS OF MULTIGRADED ARTINIAN MODULES 5 2.4 THE LINEAR SPACE IN THE CASE OF TWO VARIABLES 6 3 THE POSITIVE CONE OF BIGRADED BETTI DIAGRAMS 7 3.1 PARTITIONS 7 3.2 DECOMPOSING 9 4 EXISTENCE OF RESOLUTIONS 11 5 RESOLUTIONS OF TRIGRADED ARTINIAN MODULES OF CODIMENSION THREE 14 REFERENCES 16 KOSZUL CYCLES 17 WINFRIED BRUNS, ALDO CONCA AND TIM ROEMER 1 INTRODUCTION 17 2 NOTATION AND GENERALITIES 18 3 BOUNDS FOR KOSZUL CYCLES 21 4 GREEN-LAZARSFELD INDEX FOR SEGRE-VERONESE RINGS 26 5 GENERATING KOSZUL CYCLES 29 REFERENCES 32 BOIJ-SOEDERBERG THEORY 35 DAVID EISENBUD AND FRANK-OLAF SCHREYER 1 INTRODUCTION 35 2 BETTI TABLES 36 BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/1009892878 DIGITALISIERT DURCH IMAGE 2 X CONTENTS 3 FACETS OF THE CONE AND COHOMOLOGY TABLES 39 4 SHEAVES ON A SUBVARIETY 42 5 SEVERAL LINE BUNDLES 43 REFERENCES 47 POWERS OF COMPONENTWISE LINEAR IDEALS 49 JUERGEN HERZOG, TAKAYUKI HIBI AND HIDEFUMI OHSUGI 1 INTRODUCTION 49 2 THE CRITERION 51 3 CHORDAL GRAPHS 55 REFERENCES 60 MODULES WITH 1-DIMENSIONAL SOCLE AND COMPONENTS OF LUSZTIG QUIVER VARIETIES IN TYPE A 61 JOEL KAMNITZER AND CHANDRIKA SADANAND 1 INTRODUCTION 61 1.1 ACKNOWLEDGEMENTS 62 2 BACKGROUND 62 2.1 NOTATION 62 2.2 THE PREPROJECTIVE ALGEBRA 63 2.3 SOCLE OF MODULES 63 2.4 LUSZTIG QUIVER VARIETIES 64 3 MODULES WITH ONE-DIMENSIONAL SOCLE 64 3.1 THE MAYA MODULES 64 3.2 THE UNIQUENESS THEOREM 65 3.3 COMPUTATION OF HORN SPACES 68 3.4 CONNECTION WITH MV POLYTOPES 69 4 DESCRIPTION OF IRREDUCIBLE COMPONENTS 70 4.1 SAVAGE S DESCRIPTION OF THE COMPONENTS 70 4.2 DESCRIPTION OF THE COMPONENTS BY HORN SPACES 71 REFERENCES 72 REALIZATION SPACES FOR TROPICAL FANS 73 ERIC KATZ AND SAM PAYNE 1 INTRODUCTION 73 2 REALIZATION AND COMPACTIFICATION 76 3 REPRESENTABILITY 78 4 TROPICAL REALIZATION OF MATROID FANS 79 5 MURPHY S LAW FOR TROPICAL REALIZATION SPACES 83 REFERENCES 87 A RELATION BETWEEN SYMMETRIC POLYNOMIALS AND THE ALGEBRA OF CLASSES, MOTIVATED BY EQUIVARIANT SCHUBERT CALCULUS 89 DAN LAKSOV 1 INTRODUCTION 89 2 PARTITIONS 90 IMAGE 3 CONTENTS XI 3 FACTORIAL SCHUR POLYNOMIALS 90 4 FACTORIAL SCHUR POLYNOMIALS OVER POLYNOMIAL RINGS 93 5 FACTORIAL SCHUR POLYNOMIALS AND SCHUBERT CLASSES 94 REFERENCES 97 T H E O RY A ND A P P L I C A T I O NS OF L A T T I CE P O I NT M E T H O DS FOR B I N O M I AL I D E A LS . .. 99 EZRA MILLER 1 INTRODUCTION 99 THEORY 100 2 AFFINE SEMIGROUPS AND PRIME BINOMIAL IDEALS 100 2.1 AFFINE SEMIGROUPS 100 2.2 AFFINE SEMIGROUP RINGS 104 2.3 PRIME BINOMIAL IDEALS 106 3 MONOMIAL IDEALS AND PRIMARY BINOMIAL IDEALS 108 3.1 MONOMIAL PRIMARY IDEALS 108 3.2 CONGRUENCES ON MONOIDS I LL 3.3 BINOMIAL PRIMARY IDEALS WITH MONOMIAL ASSOCIATED PRIMES 113 4 BINOMIAL PRIMARY DECOMPOSITION 116 4.1 MONOMIAL PRIMES MINIMAL OVER BINOMIAL IDEALS 116 4.2 PRIMARY COMPONENTS FOR ARBITRARY GIVEN ASSOCIATED PRIMES 119 4.3 FINDING ASSOCIATED PRIMES COMBINATORIALLY 121 APPLICATIONS 125 5 HYPERGEOMETRIC SERIES 125 5.1 BINOMIAL HORN SYSTEMS 125 5.2 TRUE DEGREES AND QUASIDEGREES OF GRADED MODULES 128 5.3 COUNTING SERIES SOLUTIONS 131 6 COMBINATORIAL GAMES 134 6.1 INTRODUCTION TO COMBINATORIAL GAME THEORY 134 6.2 LATTICE GAMES 138 6.3 RATIONAL STRATEGIES 141 6.4 MISERE QUOTIENTS 144 7 MASS-ACTION KINETICS IN CHEMISTRY 146 7.1 BINOMIALS FROM CHEMICAL REACTIONS 147 7.2 GLOBAL ATTRACTOR CONJECTURE 149 REFERENCES 151 EQUATIONS DENNING SECANT VARIETIES: GEOMETRY AND COMPUTATION 155 JESSICA SIDMAN AND PETER VERMEIRE 1 INTRODUCTION 155 2 COMPUTING SECANT VARIETIES 158 2.1 SECANT VARIETIES VIA ELIMINATION 159 2.2 SECANT VARIETIES VIA PROLONGATION 160 2.3 COMPUTE THE IDEAL OF A SMOOTH CURVE 161 IMAGE 4 CONTENTS 3 SECANT VARIETIES AS VECTOR BUNDLES: TERRACINI RECURSION 164 3.1 SECANT VARIETIES OF POINTS 165 3.2 BLOWING UP A RATIONAL NORMAL CURVE OF DEGREE 3 166 3.3 BLOWING UP A RATIONAL NORMAL CURVE OF DEGREE 4 167 3.4 COHOMOLOGY ALONG THE FIBERS 169 APPENDIX A CODE FOR COMPUTING PROLONGATIONS 171 REFERENCES 173
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author2	Fløystad, Gunnar 1963-
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dewey-hundreds	500 - Natural sciences and mathematics
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dewey-raw	512.44
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dewey-tens	510 - Mathematics
discipline	Mathematik
format	Conference Proceeding Book
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isbn	9783642194917 3642194915
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physical	XIV, 174 S. graph. Darst. 25 cm
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series	Abel symposia
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spellingShingle	Combinatorial aspects of commutative algebra and algebraic geometry Abel prisen Abel symposia Kommutative Algebra (DE-588)4164821-3 gnd Kombinatorik (DE-588)4031824-2 gnd Algebraische Geometrie (DE-588)4001161-6 gnd
subject_GND	(DE-588)4164821-3 (DE-588)4031824-2 (DE-588)4001161-6 (DE-588)1071861417
title	Combinatorial aspects of commutative algebra and algebraic geometry Abel prisen
title_auth	Combinatorial aspects of commutative algebra and algebraic geometry Abel prisen
title_exact_search	Combinatorial aspects of commutative algebra and algebraic geometry Abel prisen
title_full	Combinatorial aspects of commutative algebra and algebraic geometry Abel prisen The Abel Symposium 2009. Gunnar Fløystad ... ed.
title_fullStr	Combinatorial aspects of commutative algebra and algebraic geometry Abel prisen The Abel Symposium 2009. Gunnar Fløystad ... ed.
title_full_unstemmed	Combinatorial aspects of commutative algebra and algebraic geometry Abel prisen The Abel Symposium 2009. Gunnar Fløystad ... ed.
title_short	Combinatorial aspects of commutative algebra and algebraic geometry
title_sort	combinatorial aspects of commutative algebra and algebraic geometry abel prisen
title_sub	Abel prisen
topic	Kommutative Algebra (DE-588)4164821-3 gnd Kombinatorik (DE-588)4031824-2 gnd Algebraische Geometrie (DE-588)4001161-6 gnd
topic_facet	Kommutative Algebra Kombinatorik Algebraische Geometrie Konferenzschrift 2009 Voss
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027648101&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV022428607
work_keys_str_mv	AT fløystadgunnar combinatorialaspectsofcommutativealgebraandalgebraicgeometryabelprisen AT abelsymposiumvoss combinatorialaspectsofcommutativealgebraandalgebraicgeometryabelprisen

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