Algebraic Geometry V
Language: English
Published by Springer Berlin Heidelberg, 2010
- Softcover
- New
Condition: New
£ 111.35
Quantity: Over 20 available
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Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Only reference on Fano manifolds.This EMS volume provides an exposition of the structure theory of Fano varieties, i.e. algebraic varieties with an ample anticanonical divisor. This book will be very useful as a reference and research guide for resea.
Seller Inventory # 5047305
- Title
- Algebraic Geometry V
- Author
- Parshin, A. N.|Shafarevich, I. R.|Iskovskikh, V. A.|Prokhorov, Yurii V.
- Publisher
- Springer Berlin Heidelberg
- Publication year
- 2010
- Condition
- New
- Binding
- Soft cover
- Language
- English
- ISBN 10
- 3642082602
- ISBN 13
- 9783642082603
- Seller catalogs
- Mathematik/Naturwissenschaften/Technik/Medizin
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.
"Synopsis" may belong to another edition of this title.
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