Fourier-Mukai transforms of line bundles on derived equivalent abelian varieties

Details Fourier-Mukai transforms of line bundles on derived equivalent abelian varieties Fourier-Mukai transforms of line bundles on derived equivalent abelian varieties

2007-11-14

arxiv.org/abs/0711.2238v1

Le Matematiche, Vol. 63, no. 1, 123--137 (2008)

Mathematics

Algebraic Geometry

Scientific paper

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.

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