Fourier-Mukai transforms of line bundles on derived equivalent abelian varieties
Algebraic Geometry
2011-11-07 v1
Abstract
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.
Keywords
Cite
@article{arxiv.0711.2238,
title = {Fourier-Mukai transforms of line bundles on derived equivalent abelian varieties},
author = {Martin G. Gulbrandsen},
journal= {arXiv preprint arXiv:0711.2238},
year = {2011}
}