Algebraic Geometry V
Algebraic Geometry V
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Résumé
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.
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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 | Non disponible |
| ISBN 13 | 9783642082603 |
| ISBN 10 | 3642082602 |
| Titre | Algebraic Geometry V |
| Auteur | An Parshin |
| Série | Encyclopaedia Of Mathematical Sciences |
| État | Non disponible |
| Type de reliure | Paperback |
| Éditeur | Springer-Verlag Berlin and Heidelberg GmbH & Co. KG |
| Année de publication | 2010-12-01 |
| Nombre de pages | 247 |
| Note de couverture | La photo du livre est présentée à titre d'illustration uniquement. La reliure, la couverture ou l'édition réelle peuvent varier. |
| Note | Non disponible |