Fourier-Mukai Transforms in Algebraic Geometry

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Preface
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
References
Index

About the Author

Daniel Huybrechts completed his Ph.D. in 1992 at the Universität Berlin. He is now a professor at the Institut de Mathématiques de Jussieu, Université Paris VII.

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It is a very good starting point to explore open problems related to derived categories, such as for example moduli space problems and birational classification.
*Marcello Bernardara, Zentralblatt MATH Vol 1095*

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Table of Contents

About the Author

Reviews