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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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Detalles Bibliográficos
Autores principales: Kollár, János, Kovács, Sándor J
Lenguaje:eng
Publicado: Cambridge University Press 2013
Materias:
Acceso en línea:http://cds.cern.ch/record/2634636
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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interwoven threads, presenting a self-contained and complete theory of these singularities, including many previously unpublished results"--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
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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