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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 bundles parametrized by Y are nef.

preprint2007arXivOpen access
Martin G. Gulbrandsen
math.AG
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Martin G. Gulbrandsen

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