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Fourier-Mukai Transforms in Algebraic Geometry : Oxford Monographs of Modern Language & Literature - Daniel Huybrechts

Fourier-Mukai Transforms in Algebraic Geometry

By: Daniel Huybrechts

Hardcover | 1 July 2006

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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.
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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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