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Singularities of the minimal model program
"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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Lenguaje: | eng |
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Cambridge University Press
2013
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Acceso en línea: | http://cds.cern.ch/record/2634636 |
_version_ | 1780959759177875456 |
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author | Kollár, János Kovács, Sándor J |
author_facet | Kollár, János Kovács, Sándor J |
author_sort | Kollár, János |
collection | CERN |
description | "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interwoven threads, presenting a self-contained and complete theory of these singularities, including many previously unpublished results"-- |
id | cern-2634636 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 2013 |
publisher | Cambridge University Press |
record_format | invenio |
spelling | cern-26346362021-04-21T18:44:05Zhttp://cds.cern.ch/record/2634636engKollár, JánosKovács, Sándor JSingularities of the minimal model programMathematical Physics and Mathematics"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"--Cambridge University Pressoai:cds.cern.ch:26346362013 |
spellingShingle | Mathematical Physics and Mathematics Kollár, János Kovács, Sándor J Singularities of the minimal model program |
title | 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 | Mathematical Physics and Mathematics |
url | http://cds.cern.ch/record/2634636 |
work_keys_str_mv | AT kollarjanos singularitiesoftheminimalmodelprogram AT kovacssandorj singularitiesoftheminimalmodelprogram |