Singularities of the minimal model program:
Saved in:
| Main Author: | |
|---|---|
| Other Authors: | |
| Format: | Book |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2013
|
| Series: | Cambridge tracts in mathematics
200 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | x, 370 Seiten Illustrationen |
| ISBN: | 9781107035348 |
Staff View
MARC
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| 245 | 1 | 0 | |a Singularities of the minimal model program |c János Kollár (Princeton University) with the collaboration of Sándor Kovács (University of Washington) |
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Record in the Search Index
| _version_ | 1804150203701264384 |
|---|---|
| adam_text | Contents
Preface
page
ix
Introduction
1
1
Preliminaries
4
1.1
Notation and conventions
4
1.2
Minimal and canonical models
13
1.3
Canonical models of pairs
16
1.4
Canonical models as partial resolutions
27
1.5
Some special singularities
33
2
Canonical and log canonical singularities
37
2.1
(Log) canonical and (log) terminal
singularities
38
2.2
Log canonical surface singularities
53
2.3
Ramified covers
63
2.4
Log terminal 3-fold singularities
72
2.5
Rational pairs
77
3
Examples
93
3.1
First examples: cones
94
3.2
Quotient singularities
101
3.3
Classification of log canonical surface
singularities
108
3.4
More examples
129
3.5
Perturbations and deformations
143
4
Adjunction and residues
150
4.1
Adjunction for divisors
152
4.2
Log canonical centers on
dit
pairs
163
4.3
Log canonical centers on 1c pairs
167
vi
Contents
4.4
Crêpant
log
structures
172
4.5
Sources
and springs
of log canonical centers
182
5
Semi-log canonical pairs
187
5.1
Demi-normal schemes
188
5.2
Statement of the main theorems
193
5.3
Semi-log canonical surfaces
196
5.4
Semi-divisorial log terminal pairs
200
5.5
Log canonical stratifications
205
5.6
Gluing relations and sources
209
5.7
Descending the canonical bundle
211
6
Du Bois
property
214
6.1
Du Bois
singularities
215
6.2
Semi-log canonical singularities are
Du Bois
229
7
Log centers and depth
232
7.1
Log centers
232
7.2
Minimal log discrepancy functions
239
7.3
Depth of sheaves on sic pairs
242
8
Survey of further results and applications
248
8.1
Ideal sheaves and plurisubharmonic funtions
248
8.2
Log canonical thresholds and the ACC conjecture
251
8.3
Arc spaces of log canonical singularities
253
8.4
F-regular and F-pure
singularités
254
8.5
Differential forms on log canonical pairs
256
8.6
The topology of log canonical singularities
259
8.7
Abundance conjecture
261
8.8
Moduli spaces for varieties
262
8.9
Applications of log canonical pairs
263
9
Finite equivalence relations
266
9.1
Quotients by finite equivalence relations
266
9.2
Descending seminormality of subschemes
285
9.3
Descending line bundles to geometric
quotients
287
9.4
Pro-finite equivalence relations
292
10
Ancillary results
297
10.1 Birational
maps of 2-dimensional schemes
297
10.2
Seminormality
306
10.3
Vanishing theorems
317
Contents
vii
10.4
Semi-log
resolutions
324
10.5
Pluricanonical
representations
334
10.6
Cubic hyperresolutions
340
References
348
Index
363
|
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| author | Kollár, János 1956- |
| author2 | Kovács, Sándor J. 1965- |
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| dewey-ones | 516 - Geometry |
| dewey-raw | 516.35 |
| dewey-search | 516.35 |
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| dewey-tens | 510 - Mathematics |
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| id | DE-604.BV040912189 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T00:35:12Z |
| institution | BVB |
| isbn | 9781107035348 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-025891492 |
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| physical | x, 370 Seiten Illustrationen |
| publishDate | 2013 |
| publishDateSearch | 2013 |
| publishDateSort | 2013 |
| publisher | Cambridge University Press |
| record_format | marc |
| series | Cambridge tracts in mathematics |
| series2 | Cambridge tracts in mathematics |
| spelling | Kollár, János 1956- Verfasser (DE-588)113796277 aut Singularities of the minimal model program János Kollár (Princeton University) with the collaboration of Sándor Kovács (University of Washington) Cambridge Cambridge University Press 2013 x, 370 Seiten Illustrationen txt rdacontent n rdamedia nc rdacarrier Cambridge tracts in mathematics 200 Algebraischer Raum (DE-588)4141854-2 gnd rswk-swf Singularität Mathematik (DE-588)4077459-4 gnd rswk-swf Singularität Mathematik (DE-588)4077459-4 s Algebraischer Raum (DE-588)4141854-2 s DE-604 Kovács, Sándor J. 1965- (DE-588)141600675 ctb Cambridge tracts in mathematics 200 (DE-604)BV000000001 200 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025891492&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kollár, János 1956- Singularities of the minimal model program Cambridge tracts in mathematics Algebraischer Raum (DE-588)4141854-2 gnd Singularität Mathematik (DE-588)4077459-4 gnd |
| subject_GND | (DE-588)4141854-2 (DE-588)4077459-4 |
| title | Singularities of the minimal model program |
| title_auth | Singularities of the minimal model program |
| title_exact_search | Singularities of the minimal model program |
| title_full | Singularities of the minimal model program János Kollár (Princeton University) with the collaboration of Sándor Kovács (University of Washington) |
| title_fullStr | Singularities of the minimal model program János Kollár (Princeton University) with the collaboration of Sándor Kovács (University of Washington) |
| title_full_unstemmed | Singularities of the minimal model program János Kollár (Princeton University) with the collaboration of Sándor Kovács (University of Washington) |
| title_short | Singularities of the minimal model program |
| title_sort | singularities of the minimal model program |
| topic | Algebraischer Raum (DE-588)4141854-2 gnd Singularität Mathematik (DE-588)4077459-4 gnd |
| topic_facet | Algebraischer Raum Singularität Mathematik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025891492&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000000001 |
| work_keys_str_mv | AT kollarjanos singularitiesoftheminimalmodelprogram AT kovacssandorj singularitiesoftheminimalmodelprogram |