Singularities of the Minimal Model Program.:
An authoritative reference and the first comprehensive treatment of the singularities of the minimal model program.
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Weitere Verfasser: | |
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge :
Cambridge University Press,
2013.
|
| Schriftenreihe: | Cambridge tracts in mathematics.
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | An authoritative reference and the first comprehensive treatment of the singularities of the minimal model program. |
| Beschreibung: | 1 online resource (382 pages) |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9781107309234 1107309239 9781107035348 1107035341 9781139547895 1139547895 9781107314788 110731478X 9781299403185 1299403182 9781107471252 1107471257 9781107307032 1107307031 |
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| 505 | 0 | |a Preface; Introduction; 1 Preliminaries; 1.1 Notation and conventions; 1.2 Minimal and canonical models; 1.3 Canonical models of pairs; 1.4 Canonical models as partial resolutions; 1.5 Some special singularities; 2 Canonical and log canonical singularities; 2.1 (Log) canonical and (log) terminal singularities; 2.2 Log canonical surface singularities; 2.3 Ramified covers; 2.4 Log terminal 3-fold singularities; 2.5 Rational pairs; 3 Examples; 3.1 First examples: cones; 3.2 Quotient singularities; 3.3 Classification of log canonical surface singularities; 3.4 More examples. | |
| 505 | 8 | |a 3.5 Perturbations and deformations4 Adjunction and residues; 4.1 Adjunction for divisors; 4.2 Log canonical centers on dlt pairs; 4.3 Log canonical centers on lc pairs; 4.4 Crepant log structures; 4.5 Sources and springs of log canonical centers; 5 Semi-log canonical pairs; 5.1 Demi-normal schemes; 5.2 Statement of the main theorems; 5.3 Semi-log canonical surfaces; 5.4 Semi-divisorial log terminal pairs; 5.5 Log canonical stratifications; 5.6 Gluing relations and sources; 5.7 Descending the canonical bundle; 6 Du Bois property; 6.1 Du Bois singularities. | |
| 505 | 8 | |a 6.2 Semi-log canonical singularities are Du Bois7 Log centers and depth; 7.1 Log centers and depth; 7.2 Minimal log discrepancy functions; 7.3 Depth of sheaves on slc pairs; 8 Survey of further results and applications; 8.1 Ideal sheaves and plurisubharmonic funtions; 8.2 Log canonical thresholds and the ACC conjecture; 8.3 Arc spaces of log canonical singularities; 8.4 F-regular and F-pure singularites; 8.5 Differential forms on log canonical pairs; 8.6 The topology of log canonical singularities; 8.7 Abundance conjecture; 8.8 Moduli spaces for varieties. | |
| 505 | 8 | |a 8.9 Applications of log canonical pairs9 Finite equivalence relations; 9.1 Quotients by finite equivalence relations; 9.2 Descending seminormality of subschemes; 9.3 Descending line bundles to geometric quotients; 9.4 Pro-finite equivalence relations; 10 Ancillary results; 10.1 Birational maps of 2-dimensional schemes; 10.2 Seminormality; 10.3 Vanishing theorems; 10.4 Semi-log resolutions; 10.5 Pluricanonical representations; 10.6 Cubic hyperresolutions; References; Index. | |
| 520 | |a An authoritative reference and the first comprehensive treatment of the singularities of the minimal model program. | ||
| 504 | |a Includes bibliographical references and index. | ||
| 650 | 0 | |a Singularities (Mathematics) |0 http://id.loc.gov/authorities/subjects/sh85122871 | |
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Datensatz im Suchindex
| DE-BY-FWS_katkey | ZDB-4-EBA-ocn833769054 |
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| _version_ | 1816882226964463617 |
| adam_text | |
| any_adam_object | |
| author | Kollár, János |
| author2 | Kovács, Sándor |
| author2_role | |
| author2_variant | s k sk |
| author_GND | http://id.loc.gov/authorities/names/nr89014031 |
| author_facet | Kollár, János Kovács, Sándor |
| author_role | |
| author_sort | Kollár, János |
| author_variant | j k jk |
| building | Verbundindex |
| bvnumber | localFWS |
| callnumber-first | Q - Science |
| callnumber-label | QA614 |
| callnumber-raw | QA614.58 .K685 2013 |
| callnumber-search | QA614.58 .K685 2013 |
| callnumber-sort | QA 3614.58 K685 42013 |
| callnumber-subject | QA - Mathematics |
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| contents | Preface; Introduction; 1 Preliminaries; 1.1 Notation and conventions; 1.2 Minimal and canonical models; 1.3 Canonical models of pairs; 1.4 Canonical models as partial resolutions; 1.5 Some special singularities; 2 Canonical and log canonical singularities; 2.1 (Log) canonical and (log) terminal singularities; 2.2 Log canonical surface singularities; 2.3 Ramified covers; 2.4 Log terminal 3-fold singularities; 2.5 Rational pairs; 3 Examples; 3.1 First examples: cones; 3.2 Quotient singularities; 3.3 Classification of log canonical surface singularities; 3.4 More examples. 3.5 Perturbations and deformations4 Adjunction and residues; 4.1 Adjunction for divisors; 4.2 Log canonical centers on dlt pairs; 4.3 Log canonical centers on lc pairs; 4.4 Crepant log structures; 4.5 Sources and springs of log canonical centers; 5 Semi-log canonical pairs; 5.1 Demi-normal schemes; 5.2 Statement of the main theorems; 5.3 Semi-log canonical surfaces; 5.4 Semi-divisorial log terminal pairs; 5.5 Log canonical stratifications; 5.6 Gluing relations and sources; 5.7 Descending the canonical bundle; 6 Du Bois property; 6.1 Du Bois singularities. 6.2 Semi-log canonical singularities are Du Bois7 Log centers and depth; 7.1 Log centers and depth; 7.2 Minimal log discrepancy functions; 7.3 Depth of sheaves on slc pairs; 8 Survey of further results and applications; 8.1 Ideal sheaves and plurisubharmonic funtions; 8.2 Log canonical thresholds and the ACC conjecture; 8.3 Arc spaces of log canonical singularities; 8.4 F-regular and F-pure singularites; 8.5 Differential forms on log canonical pairs; 8.6 The topology of log canonical singularities; 8.7 Abundance conjecture; 8.8 Moduli spaces for varieties. 8.9 Applications of log canonical pairs9 Finite equivalence relations; 9.1 Quotients by finite equivalence relations; 9.2 Descending seminormality of subschemes; 9.3 Descending line bundles to geometric quotients; 9.4 Pro-finite equivalence relations; 10 Ancillary results; 10.1 Birational maps of 2-dimensional schemes; 10.2 Seminormality; 10.3 Vanishing theorems; 10.4 Semi-log resolutions; 10.5 Pluricanonical representations; 10.6 Cubic hyperresolutions; References; Index. |
| ctrlnum | (OCoLC)833769054 |
| dewey-full | 516.353 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.353 |
| dewey-search | 516.353 |
| dewey-sort | 3516.353 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| genre | Electronic book. |
| genre_facet | Electronic book. |
| id | ZDB-4-EBA-ocn833769054 |
| illustrated | Not Illustrated |
| indexdate | 2024-11-27T13:25:15Z |
| institution | BVB |
| isbn | 9781107309234 1107309239 9781107035348 1107035341 9781139547895 1139547895 9781107314788 110731478X 9781299403185 1299403182 9781107471252 1107471257 9781107307032 1107307031 |
| language | English |
| oclc_num | 833769054 |
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| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (382 pages) |
| psigel | ZDB-4-EBA |
| 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. http://id.loc.gov/authorities/names/nr89014031 Singularities of the Minimal Model Program. Cambridge : Cambridge University Press, 2013. 1 online resource (382 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier Cambridge Tracts in Mathematics Print version record. Preface; Introduction; 1 Preliminaries; 1.1 Notation and conventions; 1.2 Minimal and canonical models; 1.3 Canonical models of pairs; 1.4 Canonical models as partial resolutions; 1.5 Some special singularities; 2 Canonical and log canonical singularities; 2.1 (Log) canonical and (log) terminal singularities; 2.2 Log canonical surface singularities; 2.3 Ramified covers; 2.4 Log terminal 3-fold singularities; 2.5 Rational pairs; 3 Examples; 3.1 First examples: cones; 3.2 Quotient singularities; 3.3 Classification of log canonical surface singularities; 3.4 More examples. 3.5 Perturbations and deformations4 Adjunction and residues; 4.1 Adjunction for divisors; 4.2 Log canonical centers on dlt pairs; 4.3 Log canonical centers on lc pairs; 4.4 Crepant log structures; 4.5 Sources and springs of log canonical centers; 5 Semi-log canonical pairs; 5.1 Demi-normal schemes; 5.2 Statement of the main theorems; 5.3 Semi-log canonical surfaces; 5.4 Semi-divisorial log terminal pairs; 5.5 Log canonical stratifications; 5.6 Gluing relations and sources; 5.7 Descending the canonical bundle; 6 Du Bois property; 6.1 Du Bois singularities. 6.2 Semi-log canonical singularities are Du Bois7 Log centers and depth; 7.1 Log centers and depth; 7.2 Minimal log discrepancy functions; 7.3 Depth of sheaves on slc pairs; 8 Survey of further results and applications; 8.1 Ideal sheaves and plurisubharmonic funtions; 8.2 Log canonical thresholds and the ACC conjecture; 8.3 Arc spaces of log canonical singularities; 8.4 F-regular and F-pure singularites; 8.5 Differential forms on log canonical pairs; 8.6 The topology of log canonical singularities; 8.7 Abundance conjecture; 8.8 Moduli spaces for varieties. 8.9 Applications of log canonical pairs9 Finite equivalence relations; 9.1 Quotients by finite equivalence relations; 9.2 Descending seminormality of subschemes; 9.3 Descending line bundles to geometric quotients; 9.4 Pro-finite equivalence relations; 10 Ancillary results; 10.1 Birational maps of 2-dimensional schemes; 10.2 Seminormality; 10.3 Vanishing theorems; 10.4 Semi-log resolutions; 10.5 Pluricanonical representations; 10.6 Cubic hyperresolutions; References; Index. An authoritative reference and the first comprehensive treatment of the singularities of the minimal model program. Includes bibliographical references and index. Singularities (Mathematics) http://id.loc.gov/authorities/subjects/sh85122871 Algebraic spaces. http://id.loc.gov/authorities/subjects/sh85003437 Singularités (Mathématiques) Espaces algébriques. MATHEMATICS Geometry General. bisacsh Singularidades (Matemáticas) embne Algebraic spaces fast Singularities (Mathematics) fast Singularität Mathematik gnd http://d-nb.info/gnd/4077459-4 Algebraischer Raum gnd http://d-nb.info/gnd/4141854-2 Electronic book. Kovács, Sándor. has work: Singularities of the Minimal Model Program (Text) https://id.oclc.org/worldcat/entity/E39PCGwwkfG3CPdmp7kPGBfhh3 https://id.oclc.org/worldcat/ontology/hasWork Print version: Kollár, János. Singularities of the Minimal Model Program. Cambridge : Cambridge University Press, ©2013 9781107035348 Cambridge tracts in mathematics. http://id.loc.gov/authorities/names/n42005726 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=529668 Volltext |
| spellingShingle | Kollár, János Singularities of the Minimal Model Program. Cambridge tracts in mathematics. Preface; Introduction; 1 Preliminaries; 1.1 Notation and conventions; 1.2 Minimal and canonical models; 1.3 Canonical models of pairs; 1.4 Canonical models as partial resolutions; 1.5 Some special singularities; 2 Canonical and log canonical singularities; 2.1 (Log) canonical and (log) terminal singularities; 2.2 Log canonical surface singularities; 2.3 Ramified covers; 2.4 Log terminal 3-fold singularities; 2.5 Rational pairs; 3 Examples; 3.1 First examples: cones; 3.2 Quotient singularities; 3.3 Classification of log canonical surface singularities; 3.4 More examples. 3.5 Perturbations and deformations4 Adjunction and residues; 4.1 Adjunction for divisors; 4.2 Log canonical centers on dlt pairs; 4.3 Log canonical centers on lc pairs; 4.4 Crepant log structures; 4.5 Sources and springs of log canonical centers; 5 Semi-log canonical pairs; 5.1 Demi-normal schemes; 5.2 Statement of the main theorems; 5.3 Semi-log canonical surfaces; 5.4 Semi-divisorial log terminal pairs; 5.5 Log canonical stratifications; 5.6 Gluing relations and sources; 5.7 Descending the canonical bundle; 6 Du Bois property; 6.1 Du Bois singularities. 6.2 Semi-log canonical singularities are Du Bois7 Log centers and depth; 7.1 Log centers and depth; 7.2 Minimal log discrepancy functions; 7.3 Depth of sheaves on slc pairs; 8 Survey of further results and applications; 8.1 Ideal sheaves and plurisubharmonic funtions; 8.2 Log canonical thresholds and the ACC conjecture; 8.3 Arc spaces of log canonical singularities; 8.4 F-regular and F-pure singularites; 8.5 Differential forms on log canonical pairs; 8.6 The topology of log canonical singularities; 8.7 Abundance conjecture; 8.8 Moduli spaces for varieties. 8.9 Applications of log canonical pairs9 Finite equivalence relations; 9.1 Quotients by finite equivalence relations; 9.2 Descending seminormality of subschemes; 9.3 Descending line bundles to geometric quotients; 9.4 Pro-finite equivalence relations; 10 Ancillary results; 10.1 Birational maps of 2-dimensional schemes; 10.2 Seminormality; 10.3 Vanishing theorems; 10.4 Semi-log resolutions; 10.5 Pluricanonical representations; 10.6 Cubic hyperresolutions; References; Index. Singularities (Mathematics) http://id.loc.gov/authorities/subjects/sh85122871 Algebraic spaces. http://id.loc.gov/authorities/subjects/sh85003437 Singularités (Mathématiques) Espaces algébriques. MATHEMATICS Geometry General. bisacsh Singularidades (Matemáticas) embne Algebraic spaces fast Singularities (Mathematics) fast Singularität Mathematik gnd http://d-nb.info/gnd/4077459-4 Algebraischer Raum gnd http://d-nb.info/gnd/4141854-2 |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85122871 http://id.loc.gov/authorities/subjects/sh85003437 http://d-nb.info/gnd/4077459-4 http://d-nb.info/gnd/4141854-2 |
| 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. |
| title_fullStr | Singularities of the Minimal Model Program. |
| title_full_unstemmed | Singularities of the Minimal Model Program. |
| title_short | Singularities of the Minimal Model Program. |
| title_sort | singularities of the minimal model program |
| topic | Singularities (Mathematics) http://id.loc.gov/authorities/subjects/sh85122871 Algebraic spaces. http://id.loc.gov/authorities/subjects/sh85003437 Singularités (Mathématiques) Espaces algébriques. MATHEMATICS Geometry General. bisacsh Singularidades (Matemáticas) embne Algebraic spaces fast Singularities (Mathematics) fast Singularität Mathematik gnd http://d-nb.info/gnd/4077459-4 Algebraischer Raum gnd http://d-nb.info/gnd/4141854-2 |
| topic_facet | Singularities (Mathematics) Algebraic spaces. Singularités (Mathématiques) Espaces algébriques. MATHEMATICS Geometry General. Singularidades (Matemáticas) Algebraic spaces Singularität Mathematik Algebraischer Raum Electronic book. |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=529668 |
| work_keys_str_mv | AT kollarjanos singularitiesoftheminimalmodelprogram AT kovacssandor singularitiesoftheminimalmodelprogram |