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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Inside This Book
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First Sentence:
The reader familiar with the basic notions of abelian and derived categories may only need to browse through this section or skip it altogether. Read the first page Key Phrases - Capitalized Phrases (CAPs): (learn more)
Proof Suppose, Proof One, Proof Any, Proof Due New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
The reader familiar with the basic notions of abelian and derived categories may only need to browse through this section or skip it altogether. Read the first page Key Phrases - Capitalized Phrases (CAPs): (learn more)
Proof Suppose, Proof One, Proof Any, Proof Due New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
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This book cites 18
books:
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- Principles of Algebraic Geometry by Phillip Griffiths in Back Matter
- Methods of Homological Algebra by Sergei I. Gelfand in Back Matter
- Abelian Varieties (Tata Institute of Fundamental Research, Bombay// Studies in Mathematics) by David Mumford in Back Matter
- Compact Manifolds with Special Holonomy (Oxford Mathematical Monographs) by Dominic D. Joyce in Front Matter
- Cohomology of Sheaves (Universitext) by Birger Iversen in Back Matter
See all 18 books this book cites
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