Verfügbarkeit: Singularities of the minimal model program

Singularities of the minimal model program:

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Bibliographische Detailangaben
Beteilige Person:	Kollár, János 1956- (VerfasserIn)
Weitere beteiligte Personen:	Kovács, Sándor J. 1965- (MitwirkendeR)
Format:	Buch
Sprache:	Englisch
Veröffentlicht:	Cambridge Cambridge University Press 2013
Schriftenreihe:	Cambridge tracts in mathematics 200
Schlagwörter:	Algebraischer Raum Singularität > Mathematik
Links:	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
Umfang:	x, 370 Seiten Illustrationen
ISBN:	9781107035348

Internformat

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Datensatz im Suchindex

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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
any_adam_object	1
author	Kollár, János 1956-
author2	Kovács, Sándor J. 1965-
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author_facet	Kollár, János 1956- Kovács, Sándor J. 1965-
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dewey-full	516.35
dewey-hundreds	500 - Natural sciences and mathematics
dewey-ones	516 - Geometry
dewey-raw	516.35
dewey-search	516.35
dewey-sort	3516.35
dewey-tens	510 - Mathematics
discipline	Mathematik
format	Book
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id	DE-604.BV040912189
illustrated	Illustrated
indexdate	2024-12-20T16:27:01Z
institution	BVB
isbn	9781107035348
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-025891492
oclc_num	839924390
open_access_boolean
owner	DE-19 DE-BY-UBM DE-355 DE-BY-UBR DE-11 DE-703 DE-824 DE-188
owner_facet	DE-19 DE-BY-UBM DE-355 DE-BY-UBR DE-11 DE-703 DE-824 DE-188
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
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

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