Singularities of the Minimal Model Program
by
Janos Kollar
Book Details
Format
Hardback or Cased Book
Book Series
Cambridge Tracts in Mathematics
ISBN-10
1107035341
ISBN-13
9781107035348
Publisher
Cambridge University Press
Imprint
Cambridge University Press
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Feb 21st, 2013
Print length
382 Pages
Weight
720 grams
Dimensions
23.50 x 15.90 x 2.40 cms
Product Classification:
Algebraic geometry
Ksh 14,750.00
Manufactured on Demand
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Giving a comprehensive treatment of the singularities that appear in the minimal model program and in the moduli problem for varieties, this book will become a standard reference for anyone interested in higher-dimensional questions in algebraic geometry, analytic geometry and number theory.
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interwoven threads, presenting a self-contained and complete theory of these singularities, including many previously unpublished results.
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