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

Kollár, János

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interwoven threads, presenting a self-contained and complete theory of these singularities, including many previously unpublished results.

About this title

Book Description:

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.

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 edition

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