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Lieferstatus:	i.d.R. innert 5-10 Tagen versandfertig
Veröffentlichung:	Dezember 2010
Genre:	Schulbücher
ISBN:	9783642082603
EAN-Code:	9783642082603
Verlag:	Springer
Einband:	Kartoniert
Sprache:	English
Dimensionen:	H 234 mm / B 156 mm / D 15 mm
Gewicht:	395 gr
Seiten:	256
Bewertung:	Titel bewerten / Meinung schreiben

Inhalt:

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.