Fourier-Mukai Transforms in Algebraic Geometry

by Daniel Huybrechts

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.

Product Details

ISBN-13:	9780199296866
Publisher:	Oxford University Press
Publication date:	06/29/2006
Series:	Oxford Mathematical Monographs
Edition description:	New Edition
Pages:	280
Product dimensions:	9.26(w) x 6.40(h) x 0.90(d)

About the Author

Universitaet Bonn

Table of Contents

Preface1. Triangulated Categories2. Derived Categories: A Quick Tour3. Derived Categories of Coherent Sheaves4. Derived category and Canonical Bundle I5. Fourier-Mukai Transforms6. Derived Category and Canonical bundle II7. Equivalence Criteria for Fourier-Mukai Transforms8. Spherical and Exceptional Objects9. Abelian Varieties10. K3 Surfaces11. Flips and Flops12. Derived Categories of Surfaces13. Where to Go from HereReferencesIndex