Deformation theory:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York, NY
Springer
2010
|
| Series: | Graduate Texts in mathematics
257 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VI, 234 Seiten |
| ISBN: | 9781441915955 |
Staff View
MARC
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| 245 | 1 | 0 | |a Deformation theory |c Robin Hartshorne |
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| 490 | 1 | |a Graduate Texts in mathematics |v 257 | |
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Record in the Search Index
| _version_ | 1811034389472083968 |
|---|---|
| adam_text |
Contents
Preface
.
vii
Introduction
. 1
1
First-Order Deformations
. 5
1.
The Hubert Scheme
. 5
2.
Structures over the Dual Numbers
. 9
3.
The T' Functors
. 18
4.
The Infinitesimal Lifting Property
. 26
5.
Deformations of Rings
. 35
2
Higher-Order Deformations
. 45
6.
Subschemes and Invertible Sheaves
. 45
7.
Vector Bundles and Coherent Sheaves
. 53
8.
Cohen-Macaulay in Codimension Two
. 58
9.
Complete Intersections and Gorenstein in Codimension Three
. 73
10.
Obstructions to Deformations of Schemes
. 78
11.
Obstruction Theory for a Local Ring
. 85
12.
Dimensions of Families of Space Curves
. 88
13.
A Nonreduced Component of the Hubert Scheme
. 91
3
Formal Moduli
. 99
14.
Plane Curve Singularities
.100
15.
Functors of
Artin
Rings
.106
16.
Schlessinger's Criterion
.
Ill
17.
Hilb and Pic are Pro-representable
.118
18. Miniversal
and Universal Deformations of Schemes
.120
19. Versal
Families of Sheaves
.128
20.
Comparison of Embedded and Abstract Deformations
.131
21.
Algebraization of Formal Moduli
.138
22.
Lifting from Characteristic
ρ
to Characteristic
0.144
vi
Contents
4
Global
Questions
.149
23.
Introduction
to Moduli Questions
.150
24.
Some Representable Functors
.156
25.
Curves of Genus Zero
.164
26.
Moduli of Elliptic Curves
.167
27.
Moduli of Curves
.177
28.
Moduli of Vector Bundles
.188
29.
Smoothing Singularities
.199
References
.217
Index
.225 |
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| isbn | 9781441915955 |
| language | English |
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| physical | VI, 234 Seiten |
| publishDate | 2010 |
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| series | Graduate Texts in mathematics |
| series2 | Graduate Texts in mathematics |
| spelling | Hartshorne, Robin 1938- Verfasser (DE-588)133225089 aut Deformation theory Robin Hartshorne New York, NY Springer 2010 VI, 234 Seiten txt rdacontent n rdamedia nc rdacarrier Graduate Texts in mathematics 257 Deformations of singularities Geometry, Algebraic Deformation Mathematik (DE-588)4011284-6 gnd rswk-swf Algebraische Geometrie (DE-588)4001161-6 gnd rswk-swf Deformation Mathematik (DE-588)4011284-6 s Algebraische Geometrie (DE-588)4001161-6 s DE-604 Erscheint auch als Online-Ausgabe 978-1-4419-1596-2 Graduate Texts in mathematics 257 (DE-604)BV000000067 257 Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018862376&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Hartshorne, Robin 1938- Deformation theory Graduate Texts in mathematics Deformations of singularities Geometry, Algebraic Deformation Mathematik (DE-588)4011284-6 gnd Algebraische Geometrie (DE-588)4001161-6 gnd |
| subject_GND | (DE-588)4011284-6 (DE-588)4001161-6 |
| title | Deformation theory |
| title_auth | Deformation theory |
| title_exact_search | Deformation theory |
| title_full | Deformation theory Robin Hartshorne |
| title_fullStr | Deformation theory Robin Hartshorne |
| title_full_unstemmed | Deformation theory Robin Hartshorne |
| title_short | Deformation theory |
| title_sort | deformation theory |
| topic | Deformations of singularities Geometry, Algebraic Deformation Mathematik (DE-588)4011284-6 gnd Algebraische Geometrie (DE-588)4001161-6 gnd |
| topic_facet | Deformations of singularities Geometry, Algebraic Deformation Mathematik Algebraische Geometrie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018862376&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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