Singularities of the minimal model program / Janos Kollar ; with the collaboration of Sandor Kovacs.
"This book gives a comprehensive treatment of the singularities that appear in the minimal model program and in the moduli problem for varieties. The study of these singularities and the development of Mori's program have been deeply intertwined. Early work on minimal models relied on deta...
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Superior document: | Cambridge tracts in mathematics ; 200 |
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Year of Publication: | 2013 |
Language: | English |
Series: | Cambridge tracts in mathematics ;
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Physical Description: | x, 370 p. |
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(MiAaPQ)5001113117 (Au-PeEL)EBL1113117 (CaPaEBR)ebr10679177 (CaONFJC)MIL471568 (OCoLC)833769054 |
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Kollar, Janos. Singularities of the minimal model program [electronic resource] / Janos Kollar ; with the collaboration of Sandor Kovacs. Cambridge : Cambridge University Press, 2013. x, 370 p. Cambridge tracts in mathematics ; 200 Includes bibliographical references and index. Machine generated contents note: Preface; Introduction; 1. Preliminaries; 2. Canonical and log canonical singularities; 3. Examples; 4. Adjunction and residues; 5. Semi-log-canonical pairs; 6. Du Bois property; 7. Log centers and depth; 8. Survey of further results and applications; 9. Finite equivalence relations; 10. Appendices; References; Index. "This book gives a comprehensive treatment of the singularities that appear in the minimal model program and in the moduli problem for varieties. The study of these singularities and the development of Mori's program have been deeply intertwined. Early work on minimal models relied on detailed study of terminal and canonical singularities but many later results on log terminal singularities were obtained as consequences of the minimal model program. Recent work on the abundance conjecture and on moduli of varieties of general type relies on subtle properties of log canonical singularities and conversely, the sharpest theorems about these singularities use newly developed special cases of the abundance problem. This book untangles these interwoven threads, presenting a self-contained and complete theory of these singularities, including many previously unpublished results"-- Provided by publisher. Electronic reproduction. Ann Arbor, MI : ProQuest, 2015. Available via World Wide Web. Access may be limited to ProQuest affiliated libraries. Singularities (Mathematics) Algebraic spaces. Electronic books. Kovacs, Sandor J. (Sandor Jozsef) ProQuest (Firm) Cambridge tracts in mathematics ; 200. https://ebookcentral.proquest.com/lib/oeawat/detail.action?docID=1113117 Click to View |
language |
English |
format |
Electronic eBook |
author |
Kollar, Janos. |
spellingShingle |
Kollar, Janos. Singularities of the minimal model program Cambridge tracts in mathematics ; Machine generated contents note: Preface; Introduction; 1. Preliminaries; 2. Canonical and log canonical singularities; 3. Examples; 4. Adjunction and residues; 5. Semi-log-canonical pairs; 6. Du Bois property; 7. Log centers and depth; 8. Survey of further results and applications; 9. Finite equivalence relations; 10. Appendices; References; Index. |
author_facet |
Kollar, Janos. Kovacs, Sandor J. ProQuest (Firm) ProQuest (Firm) |
author_variant |
j k jk |
author2 |
Kovacs, Sandor J. ProQuest (Firm) |
author2_variant |
s j k sj sjk |
author2_fuller |
(Sandor Jozsef) |
author2_role |
TeilnehmendeR TeilnehmendeR |
author_corporate |
ProQuest (Firm) |
author_sort |
Kollar, Janos. |
title |
Singularities of the minimal model program |
title_full |
Singularities of the minimal model program [electronic resource] / Janos Kollar ; with the collaboration of Sandor Kovacs. |
title_fullStr |
Singularities of the minimal model program [electronic resource] / Janos Kollar ; with the collaboration of Sandor Kovacs. |
title_full_unstemmed |
Singularities of the minimal model program [electronic resource] / Janos Kollar ; with the collaboration of Sandor Kovacs. |
title_auth |
Singularities of the minimal model program |
title_new |
Singularities of the minimal model program |
title_sort |
singularities of the minimal model program |
series |
Cambridge tracts in mathematics ; |
series2 |
Cambridge tracts in mathematics ; |
publisher |
Cambridge University Press, |
publishDate |
2013 |
physical |
x, 370 p. |
contents |
Machine generated contents note: Preface; Introduction; 1. Preliminaries; 2. Canonical and log canonical singularities; 3. Examples; 4. Adjunction and residues; 5. Semi-log-canonical pairs; 6. Du Bois property; 7. Log centers and depth; 8. Survey of further results and applications; 9. Finite equivalence relations; 10. Appendices; References; Index. |
isbn |
9781107307032 (electronic bk.) |
callnumber-first |
Q - Science |
callnumber-subject |
QA - Mathematics |
callnumber-label |
QA614 |
callnumber-sort |
QA 3614.58 K685 42013 |
genre |
Electronic books. |
genre_facet |
Electronic books. |
url |
https://ebookcentral.proquest.com/lib/oeawat/detail.action?docID=1113117 |
illustrated |
Not Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
510 - Mathematics |
dewey-ones |
516 - Geometry |
dewey-full |
516.3/5 |
dewey-sort |
3516.3 15 |
dewey-raw |
516.3/5 |
dewey-search |
516.3/5 |
oclc_num |
833769054 |
work_keys_str_mv |
AT kollarjanos singularitiesoftheminimalmodelprogram AT kovacssandorj singularitiesoftheminimalmodelprogram AT proquestfirm singularitiesoftheminimalmodelprogram |
status_str |
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(MiAaPQ)5001113117 (Au-PeEL)EBL1113117 (CaPaEBR)ebr10679177 (CaONFJC)MIL471568 (OCoLC)833769054 |
hierarchy_parent_title |
Cambridge tracts in mathematics ; 200 |
hierarchy_sequence |
200. |
is_hierarchy_title |
Singularities of the minimal model program |
container_title |
Cambridge tracts in mathematics ; 200 |
author2_original_writing_str_mv |
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