E-Book Overview
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.
E-Book Content
OX FO R D M AT H E M AT I C A L M O N O G R A P H S Series Editors
J. M. BALL W. T. GOWERS N. J. HITCHIN L. NIRENBERG R. PENROSE A. WILES
OX FO R D M AT H E M AT I C A L M O N O G R A P H S Books in the series J.W.P. Hirschfeld: Finite projective spaces of three dimensions D.E. Edmunds and W.D. Evans: Spectral theory and differential operators A. Pressley and G. Segal: Loop groups, paperback L. Evens: Cohomology of groups P.N. Hoffman and J.F. Humphreys: Projective representations of the symmetric groups: Q-Functions and Shifted Tableaux B. Amberg, S. Franciosi, and F. de Giovanni: Products of groups M.E. Gurtin: Thermomechanics of evolving phase boundaries in the plane J. Faraut and A. Koranyi: Analysis on symmetric cones B.L.R. Shawyer and B.B. Watson: Borel’s methods of summability P. Lancaster and L. Rodman: Algebraic Riccati equations Jacques Th´ evenaz: G-algebras and modular representation theory Hans-Joachim Baues: Homotopy type and homology P.D. D’Eath: Black holes: gravitational interactions R. Lowen: Approach spaces: the missing link in the topology–uniformity– metric triad Nguyen Dinh Cong: Topological dynamics of random dynamical systems S.K. Donaldson and P.B. Kronheimer: The geometry of four-manifolds, paperback N.M.J. Woodhouse: Geometric quantization, second edition, paperback J.W.P. Hirsch