Algebraic Geometry V

Fano Varieties

AvA.N. Parshin,I.R. Shafarevich

Häftad, Engelska, 2010

Del 47 i serien Encyclopaedia of Mathematical Sciences

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2010-12-01
Mått:155 x 235 x 15 mm
Vikt:395 g
Format:Häftad
Språk:Engelska
Serie:Encyclopaedia of Mathematical Sciences
Antal sidor:247
Förlag:Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN:9783642082603
Översättare:Yu.G. Prokhorov, S. Tregub, Yu G. Prokhorov, Yu. G. Prokhorov

Utforska kategorier

Matematik inom Naturvetenskap och teknik

Innehållsförteckning

Introduction.- Preliminaries.- Basic Properties of Fano Varieties.- Del Pezzo Varieties and Fano Varieties of Large Index.- Fano Threefolds with $/rho=1$.- Fano Manifolds of Coindex 3.- Boundedness and Rational Connectedness of Fano Manifolds.- Fano Manifolds with $ rho /ge 2$.- Rationality Questions for Fano Varieties I.- Rationality Questions for Fano Varieties II.- General Constructions of Rationality and Unirationality.- Some Particular Results, Generalizations and Open Problems.- Appendix: Tables.- References.- Index.