Fourier-Mukai Transforms in Algebraic Geometry (Oxford Mathematical Monographs) by D Huybrechts

by Daniel Huybrechts

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.

Hardcover

First published January 1, 2006

Reviews

[Andrew · Rating 4 out of 5]

Shockingly accessible, clear, and painless. It's also about twice as ambitious as most "first specialized courses" in algebraic geometry.