This note characterizes when a simple semi-homogeneous vector bundle on an abelian variety B is the image of the structure sheaf under a Fourier-Mukai equivalence from another abelian variety; the condition is that a kernel-intersection equation K(N)∩A_l=Ker(π) admits a line bundle N.
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Fourier-Mukai partners of abelian varieties
This note characterizes when a simple semi-homogeneous vector bundle on an abelian variety B is the image of the structure sheaf under a Fourier-Mukai equivalence from another abelian variety; the condition is that a kernel-intersection equation K(N)∩A_l=Ker(π) admits a line bundle N.