Computational methods in commutative algebra and algebraic geometry:
Gespeichert in:
| Format: | Buch |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
1998
|
| Schriftenreihe: | Algorithms and computation in mathematics
2 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XI, 394 S. Ill., graph. Darst. |
| ISBN: | 3540605207 |
Internformat
MARC
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| 084 | |a MAT 135f |2 stub | ||
| 084 | |a DAT 530f |2 stub | ||
| 245 | 1 | 0 | |a Computational methods in commutative algebra and algebraic geometry |c Wolmer V. Vasconcelos |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1998 | |
| 300 | |a XI, 394 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Algorithms and computation in mathematics |v 2 | |
| 650 | 0 | 7 | |a Kommutative Algebra |0 (DE-588)4164821-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Algebraische Geometrie |0 (DE-588)4001161-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Computeralgebra |0 (DE-588)4010449-7 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Kommutative Algebra |0 (DE-588)4164821-3 |D s |
| 689 | 0 | 1 | |a Computeralgebra |0 (DE-588)4010449-7 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Algebraische Geometrie |0 (DE-588)4001161-6 |D s |
| 689 | 1 | 1 | |a Computeralgebra |0 (DE-588)4010449-7 |D s |
| 689 | 1 | |5 DE-604 | |
| 700 | 1 | |a Vasconcelos, Wolmer V. |d 1937- |e Sonstige |0 (DE-588)115627421 |4 oth | |
| 830 | 0 | |a Algorithms and computation in mathematics |v 2 |w (DE-604)BV011131286 |9 2 | |
| 856 | 4 | 2 | |m DNB Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007763500&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-007763500 | |
Datensatz im Suchindex
| _version_ | 1807501514677157888 |
|---|---|
| adam_text |
TABLE
OF
CONTENTS
INTRODUCTION
.
1
1.
FUNDAMENTAL
ALGORITHMS
.
7
1.1
GROBNER
BASICS
.
8
1.2
DIVISION
ALGORITHMS
.
12
1.3
COMPUTATION
OF
SYZYGIES
.
17
1.4
HILBERT
FUNCTIONS
.
21
1.5
COMPUTER
ALGEBRA
SYSTEMS
.
25
2.
TOOLKIT
.
27
2.1
ELIMINATION
TECHNIQUES
.
28
2.2
RINGS
OF
ENDOMORPHISMS
.
33
2.3
NOETHER
NORMALIZATION
.
35
2.4
FITTING
IDEALS
.
39
2.5
FINITE
AND
QUASI-FINITE
MORPHISMS
.
43
2.6
FLAT
MORPHISMS
.
46
2.7
COHEN-MACAULAY
ALGEBRAS
.
55
3.
PRINCIPLES
OF
PRIMARY
DECOMPOSITION
.
61
3.1
ASSOCIATED
PRIMES
AND
IRREDUCIBLE
DECOMPOSITION
.
63
3.2
EQUIDIMENSIONAL
DECOMPOSITION
OF
AN
IDEAL
.
73
3.3
EQUIDIMENSIONAL
DECOMPOSITION
WITHOUT
EXTS
.
79
3.4
MIXED
PRIMARY
DECOMPOSITION
.
81
3.5
ELEMENTS
OF
FACTORIZERS
.
85
4.
COMPUTING
IN
ARTIN
ALGEBRAS
.
97
4.1
STRUCTURE
OF
ARTIN
ALGEBRAS
.
98
4.2
ZERO-DIMENSIONAL
IDEALS
.
103
4.3
IDEMPOTENTS
VERSUS
PRIMARY
DECOMPOSITION
.
107
4.4
DECOMPOSITION
VIA
SAMPLING
.
109
4.5
ROOT
FINDERS
.
114
X
TABLE
OF
CONTENTS
5.
NULLSTELLENSATZE
.
121
5.1
RADICALS
VIA
ELIMINATION
.
122
5.2
MODULES
OF
DIFFERENTIALS
AND
JACOBIAN
IDEALS
.
124
5.3
GENERIC
SOCLES
.
128
5.4
EXPLICIT
NULLSTELLENSATZE
.
130
5.5
FINDING
REGULAR
SEQUENCES
.
135
5.6
TOP
RADICAL
AND
UPPER
JACOBIANS
.
139
6.
INTEGRAL
CLOSURE
.
143
6.1
INTEGRALLY
CLOSED
RINGS
.
145
6.2 MULTIPLICATION
RINGS
.
148
6.3
^-IFICATION
OF
AN
AFFINE
RING
.
152
6.4
DESINGULARIZATION
IN
CODIMENSION
ONE
.
160
6.5
DISCRIMINANTS
AND
MULTIPLIERS
.
165
6.6
INTEGRAL
CLOSURE
OF
AN
IDEAL
.
168
6.7
INTEGRAL
CLOSURE
OF
A
MORPHISM
.
175
7.
IDEAL
TRANSFORMS
AND
RINGS
OF
INVARIANTS
.
181
7.1
DIVISORIAL
PROPERTIES
OF
IDEAL
TRANSFORMS
.
182
7.2
EQUATIONS
OF
BLOWUP
ALGEBRAS
.
185
7.3
SUBRINGS
.
194
7.4
RINGS
OF
INVARIANTS
.
201
8.
COMPUTATION
OF
COHOMOLOGY
(BY
DAVID
EISENBUD)
.
209
8.1
EYEBALLING
.
210
8.2
LOCAL
DUALITY
.
212
8.3
APPROXIMATION
.
214
9.
DEGREES
OF
COMPLEXITY
OF
A
GRADED
MODULE
.
217
9.1
DEGREES
OF
MODULES
.
220
9.2
INDEX
OF
NILPOTENCY
.
234
9.3
QUALITATIVE
ASPECTS
OF
NOETHER
NORMALIZATION
.
239
9.4
HOMOLOGICAL
DEGREES
OF
A
MODULE
.
253
9.5
COMPLEXITY
BOUNDS
IN
LOCAL
RINGS
.
263
APPENDIX
A.
A
PRIMER
ON
COMMUTATIVE
ALGEBRA
.
271
A.L
NOETHERIAN
RINGS
.
271
A.2
KRULL
DIMENSION
.
278
A.
3
GRADED
ALGEBRAS
.
284
A.4 INTEGRAL
EXTENSIONS
.
287
A.5
FINITELY
GENERATED
ALGEBRAS
OVER
FIELDS
.
294
A.6
THE
METHOD
OF
SYZYGIES
.
299
TABLE
OF
CONTENTS
XI
A.7
COHEN-MACAULAY
RINGS
AND
MODULES
.
311
A.
8
LOCAL
COHOMOLOGY
.
319
A.9
LINKAGE
THEORY
.
326
B.
HILBERT
FUNCTIONS
(BY
JURGEN
HERZOG)
.
331
B
.
1
G-GRADED
RINGS
AND
G-FILTRATIONS
.
331
B.2
THE
STUDY
OF
R
VIA
GR
F
(R)
.
335
B.3
THE
HILBERT-SAMUEL
FUNCTION
.
340
B.4
HILBERT
FUNCTIONS,
RESOLUTIONS
AND
LOCAL
COHOMOLOGY
.
344
B.5
LEXSEGMENT
IDEALS
AND
MACAULAY
THEOREM
.
347
B.6
THE
THEOREMS
OF
GREEN
AND
GOTZMANN
.
350
C.
USING
MACAULAY
2
(BY
DAVID
EISENBUD,
DANIEL
GRAYSON
AND
MICHAEL
STILLMAN)
.
355
C.
1
ELEMENTARY
USES
OF
MACAULAY
2
.
356
C.2
LOCAL
COHOMOLOGY
OF
GRADED
MODULES
.
370
C.3
COHOMOLOGY
OF
A
COHERENT
SHEAF
.
375
BIBLIOGRAPHY
.
381
INDEX
.
391 |
| any_adam_object | 1 |
| author_GND | (DE-588)115627421 |
| building | Verbundindex |
| bvnumber | BV011534261 |
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| dewey-full | 512.24 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.24 |
| dewey-search | 512.24 |
| dewey-sort | 3512.24 |
| dewey-tens | 510 - Mathematics |
| discipline | Informatik Mathematik |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-08-16T00:22:49Z |
| institution | BVB |
| isbn | 3540605207 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007763500 |
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| physical | XI, 394 S. Ill., graph. Darst. |
| publishDate | 1998 |
| publishDateSearch | 1998 |
| publishDateSort | 1998 |
| publisher | Springer |
| record_format | marc |
| series | Algorithms and computation in mathematics |
| series2 | Algorithms and computation in mathematics |
| spelling | Computational methods in commutative algebra and algebraic geometry Wolmer V. Vasconcelos Berlin [u.a.] Springer 1998 XI, 394 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Algorithms and computation in mathematics 2 Kommutative Algebra (DE-588)4164821-3 gnd rswk-swf Algebraische Geometrie (DE-588)4001161-6 gnd rswk-swf Computeralgebra (DE-588)4010449-7 gnd rswk-swf Kommutative Algebra (DE-588)4164821-3 s Computeralgebra (DE-588)4010449-7 s DE-604 Algebraische Geometrie (DE-588)4001161-6 s Vasconcelos, Wolmer V. 1937- Sonstige (DE-588)115627421 oth Algorithms and computation in mathematics 2 (DE-604)BV011131286 2 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007763500&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Computational methods in commutative algebra and algebraic geometry Algorithms and computation in mathematics Kommutative Algebra (DE-588)4164821-3 gnd Algebraische Geometrie (DE-588)4001161-6 gnd Computeralgebra (DE-588)4010449-7 gnd |
| subject_GND | (DE-588)4164821-3 (DE-588)4001161-6 (DE-588)4010449-7 |
| title | Computational methods in commutative algebra and algebraic geometry |
| title_auth | Computational methods in commutative algebra and algebraic geometry |
| title_exact_search | Computational methods in commutative algebra and algebraic geometry |
| title_full | Computational methods in commutative algebra and algebraic geometry Wolmer V. Vasconcelos |
| title_fullStr | Computational methods in commutative algebra and algebraic geometry Wolmer V. Vasconcelos |
| title_full_unstemmed | Computational methods in commutative algebra and algebraic geometry Wolmer V. Vasconcelos |
| title_short | Computational methods in commutative algebra and algebraic geometry |
| title_sort | computational methods in commutative algebra and algebraic geometry |
| topic | Kommutative Algebra (DE-588)4164821-3 gnd Algebraische Geometrie (DE-588)4001161-6 gnd Computeralgebra (DE-588)4010449-7 gnd |
| topic_facet | Kommutative Algebra Algebraische Geometrie Computeralgebra |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007763500&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV011131286 |
| work_keys_str_mv | AT vasconceloswolmerv computationalmethodsincommutativealgebraandalgebraicgeometry |