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Algebraic Geometry V

Algebraic Geometry V Fano Varieties - Encyclopaedia of Mathematical Sciences

Softcover reprint of hardcover 1st ed. 1999

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Publisher's Synopsis

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.

Book information

ISBN: 9783642082603
Publisher: Springer Berlin Heidelberg
Imprint: Springer
Pub date:
Edition: Softcover reprint of hardcover 1st ed. 1999
Language: English
Number of pages: 247
Weight: 454g
Height: 234mm
Width: 156mm
Spine width: 13mm