Algebraic Geometry V by An Parshin

Algebraic Geometry V by An Parshin

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Algebraic Geometry V by An Parshin

The aim of this survey, written by V.A. Iskovskikh and Yu.G. Prokhorov, is to provide an exposition of the structure theory of Fano varieties, i.e. algebraic vareties with an ample anticanonical divisor. Such varieties naturally appear in the birational classification of varieties of negative Kodaira dimension, and they are very close to rational ones. This EMS volume covers different approaches to the classification of Fano varieties such as the classical Fano-Iskovskikh "double projection" method and its modifications, the vector bundles method due to S. Mukai, and the method of extremal rays. The authors discuss uniruledness and rational connectedness as well as recent progress in rationality problems of Fano varieties. The appendix contains tables of some classes of Fano varieties. This book will be very useful as a reference and research guide for researchers and graduate students in algebraic geometry.
SKU Unavailable
ISBN 13 9783642082603
ISBN 10 3642082602
Title Algebraic Geometry V
Author An Parshin
Series Encyclopaedia Of Mathematical Sciences
Condition Unavailable
Binding Type Paperback
Publisher Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Year published 2010-12-01
Number of pages 247
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
Note Unavailable