Fourier-Mukai Transforms in Algebraic Geometry

Daniel Huybrechts - Collection Oxford Mathematical Monographs

308 pages, parution le 20/04/2006

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Résumé

A seminal text in this important area of algebraic geometry
Excellent exposition by a top researcher
Contains graded exercises and numerous examples

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.

L'auteur - Daniel Huybrechts

Daniel Huybrechts is currently Professor of Mathematics at the University Denis Diderot in Paris.

Sommaire

Triangulated categories
Derived categories: a quick tour
Derived categories of coherent sheaves
Derived category and canonical bundle I
Fourier-Mukai transforms
Derived category and canonical bundle II
Equivalence criteria for Fourier-Mukai transforms
Spherical and exceptional objects
Abelian varieties
K3 surfaces
Flips and flops
Derived categories of surfaces
Where to go from here
References
Index

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	PAPIER
Éditeur(s)	Oxford University Press
Auteur(s)	Daniel Huybrechts
Collection	Oxford Mathematical Monographs
Parution	20/04/2006
Nb. de pages	308
Format	16 x 24
Couverture	Relié
Poids	610g
Intérieur	Noir et Blanc
EAN13	9780199296866
ISBN13	978-0-19-929686-6