Combinatorial aspects of commutative algebra and algebraic geometry: Abel prisen
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| Other Authors: | |
|---|---|
| Format: | Conference Proceeding Book |
| Language: | English |
| Published: |
Berlin ; Heidelberg
Springer
2011
|
| Series: | Abel symposia
6 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturangaben |
| Physical Description: | XIV, 174 S. graph. Darst. 25 cm |
| ISBN: | 9783642194917 3642194915 |
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MARC
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| 245 | 1 | 0 | |a Combinatorial aspects of commutative algebra and algebraic geometry |b Abel prisen |c The Abel Symposium 2009. Gunnar Fløystad ... ed. |
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Record in the Search Index
| _version_ | 1804152730475823104 |
|---|---|
| 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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| building | Verbundindex |
| bvnumber | BV042209368 |
| ctrlnum | (OCoLC)724899681 (DE-599)DNB1009892878 |
| dewey-full | 512.44 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.44 |
| dewey-search | 512.44 |
| dewey-sort | 3512.44 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Conference Proceeding Book |
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| physical | XIV, 174 S. graph. Darst. 25 cm |
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| spelling | Combinatorial aspects of commutative algebra and algebraic geometry Abel prisen The Abel Symposium 2009. Gunnar Fløystad ... ed. Berlin ; Heidelberg Springer 2011 XIV, 174 S. graph. Darst. 25 cm txt rdacontent n rdamedia nc rdacarrier Abel symposia 6 Literaturangaben Kommutative Algebra (DE-588)4164821-3 gnd rswk-swf Kombinatorik (DE-588)4031824-2 gnd rswk-swf Algebraische Geometrie (DE-588)4001161-6 gnd rswk-swf (DE-588)1071861417 Konferenzschrift 2009 Voss gnd-content Kommutative Algebra (DE-588)4164821-3 s Algebraische Geometrie (DE-588)4001161-6 s Kombinatorik (DE-588)4031824-2 s DE-604 Fløystad, Gunnar 1963- edt Abel Symposium 6 2009 Voss Sonstige (DE-588)16161324-X oth Erscheint auch als Online-Ausgabe Combinatorial Aspects of Commutative Algebra and Algebraic Geometry Abel symposia 6 (DE-604)BV022428607 6 DNB Datenaustausch application/pdf 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 Inhaltsverzeichnis |
| 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 |
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