Singularities of the Minimal Model Program

By:

Janos Kollar

Format:

Hardback

Series:

Cambridge Tracts in Mathematics

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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interwoven threads, presenting a self-contained and complete theory of these singularities, including many previously unpublished results.

Author Biography:

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.

Release date NZ

February 21st, 2013

Author

Janos Kollar

Audience

Tertiary Education (US: College)

Contributor

With Sandor Kovacs

Illustrations

Worked examples or Exercises; 45 Tables, unspecified

Pages

382

Series

Cambridge Tracts in Mathematics

Dimensions

157x231x23

ISBN-13

9781107035348

Product ID

20812007

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