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Fourier-Mukai transforms in algebraic geometry

Author: Daniel Huybrechts
Publisher: Oxford : Clarendon, 2009.
Series: Oxford mathematical monographs
Edition/Format:   Print book : English : ReprView all editions and formats
Summary:

This seminal text by a leading researcher is based on a course given at the Institut de Mathematiques de Jussieu. Aimed at students with a basic knowledge of algebraic geometry, the key aspect of  Read more...

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Daniel Huybrechts
ISBN: 9780199296866 0199296863
OCLC Number: 699820910
Description: VIII, 307 Seiten : Diagramme.
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
Series Title: Oxford mathematical monographs
Responsibility: D. Huybrechts.

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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 Read more...

 
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