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

This Work Is Based On A Course Given At The Institut De Mathematiques De Jussieu, On The Derived Category Of Coherent Sheaves On A Smooth Projective Variety. It Is Aimed At Students With A Basic Knowledge Of Algebraic Geometry And Contains Full Proofs And Exercises That Aid The Reader. 1. Triangulated Categories -- 2. Derived Categories : A Quick Tour -- 3. Derived Categories Of Coherent Sheaves -- 4. Derived Category And Canonical Bundle -- I -- 5. Fourier-mukai Transforms -- 6. Derived Category And Canonical Bundle -- Ii -- 7. Equivalence Criteria For Fourier-mukai Transforms -- 8. Spherical And Exceptional Objects -- 9. Abelian Varieties -- 10. K3 Surfaces -- 11. Flips And Flops -- 12. Derived Categories Of Surfaces -- 13. Where To Go From Here. D. Huybrechts. Includes Bibliographical References (p. [299]-304) And Index.