Fourier-Mukai Transforms in Algebraic Geometry

ISBN-13: 9780199296866 / Angielski / Twarda / 2006 / 280 str.

D Huybrechts

Opis

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.

Recenzje

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.

O autorze

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.