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25 Remote Warehouse Mathematics- Algebraic Geometry

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

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

 

Synopses & Reviews

Publisher Comments:

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.

Table of Contents

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

Product Details

ISBN:
9780199296866
Author:
Huybrechts, D.
Publisher:
Oxford University Press, USA
Author:
Huybrechts, Daniel
Subject:
Geometry - Algebraic
Subject:
Fourier transformations
Subject:
Mathematics | Pure Mathematics
Subject:
Mathematics-Algebraic Geometry
Series:
Oxford Mathematical Monographs
Publication Date:
20060731
Binding:
HARDCOVER
Grade Level:
Professional and scholarly
Language:
English
Illustrations:
114 line illus.
Pages:
280
Dimensions:
9.26x6.40x.90 in. 1.35 lbs.

Related Subjects

Education » Phonics
Science and Mathematics » Mathematics » Geometry » Algebraic Geometry

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