Fourier-Mukai Transforms in Algebraic Geometry

Inbunden, Engelska, 2006

AvDaniel Huybrechts,Universitaet Bonn) Huybrechts, Daniel (Mathematisches Institut,D. Huybrechts,D Huybrechts

2 919 kr

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This seminal text on Fourier-Mukai Transforms in Algebraic Geometry by a leading researcher and expositor is based on a course given at the Institut de Mathematiques de Jussieu in 2004 and 2005. Aimed at postgraduate students with a basic knowledge of algebraic geometry, the key aspect of this book is the derived category of coherent sheaves on a smooth projective variety. Including notions from other areas, e.g. singular cohomology, Hodge theory, abelian varieties, K3 surfaces; full proofs are given and exercises aid the reader throughout.

Produktinformation

Utgivningsdatum2006-04-20
Mått162 x 242 x 22 mm
Vikt611 g
FormatInbunden
SpråkEngelska
SerieOxford Mathematical Monographs
Antal sidor280
FörlagOUP OXFORD
ISBN9780199296866

Tillhör följande kategorier

Preface ; 1. Triangulated categories ; 2. Derived categories: a quick tour ; 3. Derived categories of coherent sheaves ; 4. Derived category and canonical bundle I ; 5. Fourier-Mukai transforms ; 6. Derived category and canonical bundle II ; 7. Equivalence criteria for Fourier-Mukai transforms ; 8. Spherical and exceptional objects ; 9. Abelian varieties ; 10. K3 surfaces ; 11. Flips and flops ; 12. Derived categories of surfaces ; 13. Where to go from here ; References ; Index

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