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English
Cambridge University Press
21 February 2013
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interwoven threads, presenting a self-contained and complete theory of these singularities, including many previously unpublished results.

By:  
With:  
Imprint:   Cambridge University Press
Country of Publication:   United Kingdom
Volume:   200
Dimensions:   Height: 231mm,  Width: 157mm,  Spine: 23mm
Weight:   660g
ISBN:   9781107035348
ISBN 10:   1107035341
Series:   Cambridge Tracts in Mathematics
Pages:   382
Publication Date:  
Audience:   College/higher education ,  Primary
Format:   Hardback
Publisher's Status:   Active

János Kollár is Professor of Mathematics and Donner Professor of Science at Princeton University. He has authored about 100 research papers and six books on algebraic geometry.

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