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Singularities of the Minimal Model Program.
An authoritative reference and the first comprehensive treatment of the singularities of the minimal model program.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge :
Cambridge University Press,
2013.
|
| Colección: | Cambridge tracts in mathematics.
|
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Kollár, János. | |
| 245 | 1 | 0 | |a Singularities of the Minimal Model Program. |
| 260 | |a Cambridge : |b Cambridge University Press, |c 2013. | ||
| 300 | |a 1 online resource (382 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Cambridge Tracts in Mathematics | |
| 588 | 0 | |a Print version record. | |
| 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. | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Singularities (Mathematics) | |
| 650 | 0 | |a Algebraic spaces. | |
| 650 | 6 | |a Singularités (Mathématiques) | |
| 650 | 6 | |a Espaces algébriques. | |
| 650 | 7 | |a MATHEMATICS |x Geometry |x General. |2 bisacsh | |
| 650 | 7 | |a Algebraic spaces. |2 fast |0 (OCoLC)fst00804939 | |
| 650 | 7 | |a Singularities (Mathematics) |2 fast |0 (OCoLC)fst01119502 | |
| 650 | 7 | |a Singularität |g Mathematik |2 gnd | |
| 650 | 7 | |a Algebraischer Raum |2 gnd | |
| 700 | 1 | |a Kovács, Sándor. | |
| 776 | 0 | 8 | |i Print version: |a Kollár, János. |t Singularities of the Minimal Model Program. |d Cambridge : Cambridge University Press, ©2013 |z 9781107035348 |
| 830 | 0 | |a Cambridge tracts in mathematics. | |
| 856 | 4 | 0 | |u https://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=529668 |z Texto completo |
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