Introduction to singularities and deformations:
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| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2007
|
| Series: | Springer Monographs in mathematics
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XII, 471 S. graph. Darst. |
| ISBN: | 3540283803 9783540283805 9783642066580 |
Staff View
MARC
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| 245 | 1 | 0 | |a Introduction to singularities and deformations |c G.-M. Greuel ; C. Lossen ; E. Shustin |
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Record in the Search Index
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| adam_text | Contents
Chapter I Singularity Theory
1
1.1 Weierstraß
1.2
1.3
1.4
1.5
1.6
1.7
1.8
1.9
1.10
2
2.1
2.2
2.3
2.4
3
3.1
3.2
3.3
3.4
Chapter II. Local Deformation Theory
1
1.1
1.2
1.3 Versal
1.4
1.5
2
XII Contents
2.1 Equisingular
2.2
2.3
2.4
2.5
2.6
2.7
2.8
Appendix A. Sheaves
A.I Presheaves and Sheaves
A.2 Gluing Sheaves
A.3 Sheaves of Rings and Modules
A.
A.
A.
A.7 Coherent Sheaves
A.8 Sheaf Cohomology
A.
Appendix B. Commutative Algebra
B.I Associated Primes and Primary Decomposition
B.2 Dimension Theory
B.3 Tensor Product and Flatness
B.4 Artin-Rees and Krull Intersection Theorem
B.5 The Local Criterion of Flatness
B.6 The
B.7 Regular Sequences and Depth
B.8 Cohen-Macaulay, Flatness and Fibres
B.9 Auslander-Buchsbaum Formula
Appendix C. Formal Deformation Theory
C.I Functors of Artin Rings
C.2 Obstructions
C.3 The Cotangent Complex
C.4 Cotangent Cohomology
C.5 Relation to Deformation Theory
References
Index
|
| adam_txt |
Contents
Chapter I Singularity Theory
1
1.1 Weierstraß
1.2
1.3
1.4
1.5
1.6
1.7
1.8
1.9
1.10
2
2.1
2.2
2.3
2.4
3
3.1
3.2
3.3
3.4
Chapter II. Local Deformation Theory
1
1.1
1.2
1.3 Versal
1.4
1.5
2
XII Contents
2.1 Equisingular
2.2
2.3
2.4
2.5
2.6
2.7
2.8
Appendix A. Sheaves
A.I Presheaves and Sheaves
A.2 Gluing Sheaves
A.3 Sheaves of Rings and Modules
A.
A.
A.
A.7 Coherent Sheaves
A.8 Sheaf Cohomology
A.
Appendix B. Commutative Algebra
B.I Associated Primes and Primary Decomposition
B.2 Dimension Theory
B.3 Tensor Product and Flatness
B.4 Artin-Rees and Krull Intersection Theorem
B.5 The Local Criterion of Flatness
B.6 The
B.7 Regular Sequences and Depth
B.8 Cohen-Macaulay, Flatness and Fibres
B.9 Auslander-Buchsbaum Formula
Appendix C. Formal Deformation Theory
C.I Functors of Artin Rings
C.2 Obstructions
C.3 The Cotangent Complex
C.4 Cotangent Cohomology
C.5 Relation to Deformation Theory
References
Index |
| any_adam_object | 1 |
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| discipline | Mathematik |
| discipline_str_mv | Mathematik |
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| illustrated | Illustrated |
| index_date | 2024-07-02T15:34:26Z |
| indexdate | 2024-07-09T20:43:24Z |
| institution | BVB |
| isbn | 3540283803 9783540283805 9783642066580 |
| language | English |
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| physical | XII, 471 S. graph. Darst. |
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| spelling | Greuel, Gert-Martin 1944- Verfasser (DE-588)108556921 aut Introduction to singularities and deformations G.-M. Greuel ; C. Lossen ; E. Shustin Berlin [u.a.] Springer 2007 XII, 471 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Springer Monographs in mathematics Déformations de singularités Singularités (Mathématiques) Deformations of singularities Singularities (Mathematics) Kurvensingularität (DE-588)4166228-3 gnd rswk-swf Singularität Mathematik (DE-588)4077459-4 gnd rswk-swf Hyperflächensingularität (DE-588)4161055-6 gnd rswk-swf Deformation Mathematik (DE-588)4011284-6 gnd rswk-swf Analytischer Raum (DE-588)4001871-4 gnd rswk-swf Singularität Mathematik (DE-588)4077459-4 s Deformation Mathematik (DE-588)4011284-6 s Analytischer Raum (DE-588)4001871-4 s DE-604 Kurvensingularität (DE-588)4166228-3 s Hyperflächensingularität (DE-588)4161055-6 s Lossen, Christoph Verfasser (DE-588)115092900 aut Shustin, Eugenii Verfasser aut Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014971843&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Greuel, Gert-Martin 1944- Lossen, Christoph Shustin, Eugenii Introduction to singularities and deformations Déformations de singularités Singularités (Mathématiques) Deformations of singularities Singularities (Mathematics) Kurvensingularität (DE-588)4166228-3 gnd Singularität Mathematik (DE-588)4077459-4 gnd Hyperflächensingularität (DE-588)4161055-6 gnd Deformation Mathematik (DE-588)4011284-6 gnd Analytischer Raum (DE-588)4001871-4 gnd |
| subject_GND | (DE-588)4166228-3 (DE-588)4077459-4 (DE-588)4161055-6 (DE-588)4011284-6 (DE-588)4001871-4 |
| title | Introduction to singularities and deformations |
| title_auth | Introduction to singularities and deformations |
| title_exact_search | Introduction to singularities and deformations |
| title_exact_search_txtP | Introduction to singularities and deformations |
| title_full | Introduction to singularities and deformations G.-M. Greuel ; C. Lossen ; E. Shustin |
| title_fullStr | Introduction to singularities and deformations G.-M. Greuel ; C. Lossen ; E. Shustin |
| title_full_unstemmed | Introduction to singularities and deformations G.-M. Greuel ; C. Lossen ; E. Shustin |
| title_short | Introduction to singularities and deformations |
| title_sort | introduction to singularities and deformations |
| topic | Déformations de singularités Singularités (Mathématiques) Deformations of singularities Singularities (Mathematics) Kurvensingularität (DE-588)4166228-3 gnd Singularität Mathematik (DE-588)4077459-4 gnd Hyperflächensingularität (DE-588)4161055-6 gnd Deformation Mathematik (DE-588)4011284-6 gnd Analytischer Raum (DE-588)4001871-4 gnd |
| topic_facet | Déformations de singularités Singularités (Mathématiques) Deformations of singularities Singularities (Mathematics) Kurvensingularität Singularität Mathematik Hyperflächensingularität Deformation Mathematik Analytischer Raum |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014971843&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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