Algebraic Geometry V: Fano Varieties (Encyclopaedia of Mathematical Sciences, Band 47) - Softcover

 
9783642082603: Algebraic Geometry V: Fano Varieties (Encyclopaedia of Mathematical Sciences, Band 47)
Softcover
ISBN 10: 3642082602 ISBN 13: 9783642082603
Verlag: Springer, 2010

Inhaltsangabe

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.

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Verlag
Springer
Erscheinungsdatum
2010
Sprache
Englisch
ISBN 10 
3642082602
ISBN 13 
9783642082603
Einband
Taschenbuch
Anzahl der Seiten
256
Herausgeber
Parshin A.N., Shafarevich I.R.
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