Format:
1 Online-Ressource (x, 370 pages)
,
digital, PDF file(s).
ISBN:
9781139547895
Series Statement:
Cambridge tracts in mathematics 200
Content:
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interwoven threads, presenting a self-contained and complete theory of these singularities, including many previously unpublished results.
Content:
Preface -- Introduction -- Preliminaries -- Canonical and log canonical singularities -- Examples -- Adjunction and residues -- Semi-log-canonical pairs -- Du Bois property -- Log centers and depth -- Survey of further results and applications -- Finite equivalence relations -- Ancillary results
Note:
Title from publisher's bibliographic system (viewed on 05 Oct 2015)
Additional Edition:
ISBN 9781107471252
Additional Edition:
ISBN 9781107035348
Additional Edition:
ISBN 9781107035348
Additional Edition:
ISBN 9781107471252
Additional Edition:
Erscheint auch als Kollár, János, 1956 - Singularities of the minimal model program Cambridge [u.a.] : Cambridge Univ. Press, 2013 ISBN 9781107035348
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9781107035348
Language:
English
Subjects:
Mathematics
Keywords:
Singularität
;
Algebraischer Raum
DOI:
10.1017/CBO9781139547895
Author information:
Kovács, Sándor J. 1965-
Author information:
Kollár, János 1956-
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