Algebraic Geometry V by An Parshin

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	Nicht verfügbar
ISBN 13	9783642082603
ISBN 10	3642082602
Titel	Algebraic Geometry V
Autor	An Parshin
Serie	Encyclopaedia Of Mathematical Sciences
Buchzustand	Nicht verfügbar
Bindungsart	Paperback
Verlag	Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Erscheinungsjahr	2010-12-01
Seitenanzahl	247
Hinweis auf dem Einband	Die Abbildung des Buches dient nur Illustrationszwecken, die tatsächliche Bindung, das Cover und die Auflage können sich davon unterscheiden.
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