Fourier-Mukai Transforms in Algebraic Geom...

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Sprache: Englisch

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Beschreibung

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.

Über den Autor

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.

Inhaltsverzeichnis

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

Details

Erscheinungsjahr:	2006
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Inhalt:	Gebunden
ISBN-13:	9780199296866
ISBN-10:	0199296863
Sprache:	Englisch
Einband:	Gebunden
Autor:	Huybrechts, D.
Hersteller:	OUP Oxford
Verantwortliche Person für die EU:	Deutsche Bibelgesellschaft, Postfach:81 03 40, D-70567 Stuttgart, vertrieb@dbg.de
Maße:	240 x 161 x 22 mm
Von/Mit:	D. Huybrechts
Erscheinungsdatum:	01.07.2006
Gewicht:	0,64 kg