Fourier Mukai transforms of line bundles on derived equivalent abelian varieties

Fourier Mukai transforms of line bundles on derived equivalent abelian varieties

We study the Fourier-Mukai functor D(Y) → D(X) induced by the universal family on a fine moduli space Y for simple semihomogeneous vector bundles on an abelian variety X. The main result is that the Fourier-Mukai transform of a very negative line bundle on Y is ample if and only if the bundl...

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Bibliographic Details
Main Author: Martin G. Gulbrandsen
Format: Article
Language:English
Published: Università degli Studi di Catania 2008-05-01
Series:Le Matematiche
Subjects:
Semihomogeneous bundles
Fourier-Mukai transform
Derived equivalence
Online Access:http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/51
Description
Summary:We study the Fourier-Mukai functor D(Y) → D(X) induced by the universal family on a fine moduli space Y for simple semihomogeneous vector bundles on an abelian variety X. The main result is that the Fourier-Mukai transform of a very negative line bundle on Y is ample if and only if the bundles parametrized by Y are nef.
ISSN:0373-3505
2037-5298

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