Fourier-mukai Transforms for Abelian Varieties and Moduli of Stable Bundles
نویسنده
چکیده
We classify Fourier-Mukai transforms for abelian varieties. In the case of a principally polarized abelian surface these are then used to identify a large family of moduli spaces of stable vector bundles as Hilbert schemes of points on the surface.
منابع مشابه
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In order to investigate sheaves on abelian varieties, Mukai [Mu1] introduced a very powerful tool called Fourier-Mukai functor. As an application, Mukai ([Mu1], [Mu4]) computed some moduli spaces of stable sheaves on abelian varieties. Recently, Dekker [D] found some examples of isomorphisms of moduli spaces of sheaves induced by Fourier-Mukai functors. As an application, he proved that moduli ...
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تاریخ انتشار 1996