Singularities of the Minimal Model Program (Cambridge Tracts in Mathematics, Series Number 200) - Hardcover

Book 25 of 46: Cambridge Tracts in Mathematics

Kollár, János

 
9781107035348: Singularities of the Minimal Model Program (Cambridge Tracts in Mathematics, Series Number 200)
Hardcover
ISBN 10: 1107035341 ISBN 13: 9781107035348
Publisher: Cambridge University Press, 2013

Synopsis

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interwoven threads, presenting a self-contained and complete theory of these singularities, including many previously unpublished results.

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About the Author

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.

"About this title" may belong to another edition of this title.

Publisher
Cambridge University Press
Publication date
2013
Language
English
ISBN 10 
1107035341
ISBN 13 
9781107035348
Binding
Hardcover
Edition number
1
Number of pages
382