Fourier-Mukai Transforms in Algebraic Geometry

Inbunden, Engelska, 2006

Del i serien Oxford Mathematical Monographs

2 324 kr

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Beskrivning

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

Utgivningsdatum:2006-04-20
Mått:162 x 242 x 22 mm
Vikt:611 g
Format:Inbunden
Språk:Engelska
Serie:Oxford Mathematical Monographs
Antal sidor:280
Förlag:OUP OXFORD
ISBN:9780199296866

Utforska kategorier

Matematik inom Naturvetenskap och teknik
Topologi inom Naturvetenskap och teknik

Mer om författaren

Daniel Huybrechts completed his Ph.D. in 1992 at the Universität Berlin. He is now a professor at the Institut de Mathématiques de Jussieu, Université Paris VII.

Recensioner i media

It is a very good starting point to explore open problems related to derived categories, such as for example moduli space problems and birational classification.

Innehållsförteckning

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