On a invariants, filter regularity and the Cohen Macaulayness of graded algebras:
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
1995
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Köln, Univ., Diss., 1995 |
| Physical Description: | 146 S. |
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MARC
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| 100 | 1 | |a Korb, Thomas A. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a On a invariants, filter regularity and the Cohen Macaulayness of graded algebras |c vorgelegt von Thomas A. Korb |
| 246 | 1 | 3 | |a On a-invariants, filter-regularity and the Cohen-Macaulayness of graded algebras |
| 264 | 1 | |c 1995 | |
| 300 | |a 146 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Köln, Univ., Diss., 1995 | ||
| 650 | 0 | 7 | |a Graduierte Algebra |0 (DE-588)4304029-9 |2 gnd |9 rswk-swf |
| 655 | 7 | |0 (DE-588)4113937-9 |a Hochschulschrift |2 gnd-content | |
| 689 | 0 | 0 | |a Graduierte Algebra |0 (DE-588)4304029-9 |D s |
| 689 | 0 | |5 DE-604 | |
| 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=006989881&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
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Record in the Search Index
| _version_ | 1807684012152455168 |
|---|---|
| adam_text |
CONTENTS
1
INTRODUCTION
5
2
ON
GRADED
RINGS
AND
MODULES
11
2.1
LOCAL
COHOMOLOGY
.
11
2.2
GRADED
RINGS
OVER
LOCAL
RINGS
.
18
2.3
SPECIAL
PROPERTIES
OF
GRADED
RINGS
AND
MODULES
.
23
2.3.1
THE
COHEN-MACAULAY
PROPERTY
.
23
2.3.2
VARIOUS
OTHER
PROPERTIES
.
27
3
ON
BLOW-UP
ALGEBRAS
33
3.1
DEFINITIONS
AND
BASIC
FACTS
.
33
3.2
THE
COHEN-MACAULAY
AND
GORENSTEIN
PROPERTY
.
35
4
A-INVARIANTS
OF
STANDARD
GRADED
ALGEBRAS
42
4.1
NOTATION,
DEFINITIONS
AND
PRELIMINARIES
.
42
4.2
A-INVARIANTS
AND
FILTER-REGULARITY
.
46
4.3
A
GENERALIZED
SCHENZEL-TRUNG
RELATION
.
53
4.4
THE
A-INVARIANT
OF
THE
FIBRE
CONE
.
57
4.5
INDEX-REGULARITY
.
62
4.6
THE
CLASSICAL
A-INVARIANT
.
67
4.6.1
THE
GENERAL
CASE
.
67
4.6.2
SPECIAL
CASES
.
73
5
COHEN-MACAULAY
MULTI-REES
ALGEBRAS
77
5.1
NOTATION,
DEFINITIONS
AND
PRELIMINARIES
.
78
5.1.1
GENERAL
FACTS
AND
DEFINITIONS
.
78
5.1.2
COHOMOLOGICAL
PRELIMINARIES
.
79
5.2
THE
DEPTH
OF
THE
REES
ALGEBRA
.
83
5.3
CONSTRAINTS
UPON
THE
COHEN-MACAULAY
PROPERTY
.
87
5.4
ON
MULTI-REES
ALGEBRAS
OF
M-PRIMARY
IDEALS
.
93
5.4.1
INDEX-REGULARITY
IN
THE
FORM
RING
.
94
5.4.2
THE
DEPTH
OF
THE
FORM
RING
AND
FILTER-REGULARITY
.
97
5.4.3
AN
EXAMPLE
.
101
CONTENTS
6
FINITE
COHEN-MACAULAY
NUMBERS
103
6.1
DEFINITIONS
AND
SOME
REMARKS
.
104
6.2
THE
GENERAL
CASE
.
106
6.3
SPECIAL
CASES
.
ILL
6.3.1
FORM
RINGS
OF
BIG
DEPTH
.
112
6.3.2
COHEN-MACAULAY
LOCAL
RINGS
OF
SMALL
DIMENSION
.
116
6.3.3
SOME
REMARKS
.
118
A
APPENDIX
121
A.L
LOCAL
COHOMOLOGY
.
121
A.2
MINIMAL
REDUCTIONS
IN
THE
LOCAL
CASE
.
127
A.3
SPECTRAL
SEQUENCES
.
128
A.4
THE
APPROXIMATION-SEQUENCES
.
130
B
ZUSAMMENFASSUNG
(SUMMARY
IN
GERMAN)
131
REFERENCES
140
ACKNOWLEDGEMENTS
146 |
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| author | Korb, Thomas A. |
| author_facet | Korb, Thomas A. |
| author_role | aut |
| author_sort | Korb, Thomas A. |
| author_variant | t a k ta tak |
| building | Verbundindex |
| bvnumber | BV010490582 |
| classification_tum | MAT 160d |
| ctrlnum | (OCoLC)64527913 (DE-599)BVBBV010490582 |
| discipline | Mathematik |
| format | Book |
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| illustrated | Not Illustrated |
| indexdate | 2024-08-18T00:43:33Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006989881 |
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| physical | 146 S. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| record_format | marc |
| spelling | Korb, Thomas A. Verfasser aut On a invariants, filter regularity and the Cohen Macaulayness of graded algebras vorgelegt von Thomas A. Korb On a-invariants, filter-regularity and the Cohen-Macaulayness of graded algebras 1995 146 S. txt rdacontent n rdamedia nc rdacarrier Köln, Univ., Diss., 1995 Graduierte Algebra (DE-588)4304029-9 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Graduierte Algebra (DE-588)4304029-9 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006989881&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Korb, Thomas A. On a invariants, filter regularity and the Cohen Macaulayness of graded algebras Graduierte Algebra (DE-588)4304029-9 gnd |
| subject_GND | (DE-588)4304029-9 (DE-588)4113937-9 |
| title | On a invariants, filter regularity and the Cohen Macaulayness of graded algebras |
| title_alt | On a-invariants, filter-regularity and the Cohen-Macaulayness of graded algebras |
| title_auth | On a invariants, filter regularity and the Cohen Macaulayness of graded algebras |
| title_exact_search | On a invariants, filter regularity and the Cohen Macaulayness of graded algebras |
| title_full | On a invariants, filter regularity and the Cohen Macaulayness of graded algebras vorgelegt von Thomas A. Korb |
| title_fullStr | On a invariants, filter regularity and the Cohen Macaulayness of graded algebras vorgelegt von Thomas A. Korb |
| title_full_unstemmed | On a invariants, filter regularity and the Cohen Macaulayness of graded algebras vorgelegt von Thomas A. Korb |
| title_short | On a invariants, filter regularity and the Cohen Macaulayness of graded algebras |
| title_sort | on a invariants filter regularity and the cohen macaulayness of graded algebras |
| topic | Graduierte Algebra (DE-588)4304029-9 gnd |
| topic_facet | Graduierte Algebra Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006989881&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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