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.
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