Fourier-Mukai Transforms in Algebraic Geometry - Huybrechts, Daniel (Mathematisches Institut, Universitaet Bonn)

This seminal text by a leading researcher is based on a course given at the Institut de Mathematiques de Jussieu. Aimed at 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. Full proofs are given and exercises aid the reader throughout.