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including many previously unpublished results.
General
Imprint: |
Cambridge UniversityPress
|
Country of origin: |
United Kingdom |
Series: |
Cambridge Tracts in Mathematics |
Release date: |
February 2013 |
First published: |
April 2013 |
Authors: |
Janos Kollar
|
As told to: |
Sandor Kovacs
|
Dimensions: |
231 x 157 x 23mm (L x W x T) |
Format: |
Hardcover
|
Pages: |
382 |
Edition: |
New |
ISBN-13: |
978-1-107-03534-8 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Geometry >
Algebraic geometry
|
LSN: |
1-107-03534-1 |
Barcode: |
9781107035348 |
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