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

 
9783540614685: Algebraic Geometry V: Fano Varieties (Encyclopaedia of Mathematical Sciences, 47, Band 47)
Hardcover
ISBN 10: 3540614680 ISBN 13: 9783540614685
Verlag: Springer, 1998

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
1998
Sprache
Englisch
ISBN 10 
3540614680
ISBN 13 
9783540614685
Einband
Gebundene Ausgabe
Anzahl der Seiten
252
Herausgeber
Parshin A.N., Shafarevich I.R.
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