Fourier Mukai transforms of line bundles on derived equivalent abelian varieties

  • Martin G. Gulbrandsen Royal Institute of Technology
Keywords: Semihomogeneous bundles, Fourier-Mukai transform, Derived equivalence


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.

Author Biography

Martin G. Gulbrandsen, Royal Institute of Technology
Royal Institute of Technology
Stockholm, Sweden