Lagrangian-invariant sheaves and functors for abelian varieties
Lagrangian-invariant sheaves and functors for abelian varieties
We partially generalize the theory of semihomogeneous bundles on an abelian variety $A$ developed by Mukai, Semi-homogeneous vector bundles on an abelian variety, J. Math. Kyoto Univ. 18 (1978), 239–272. This involves considering abelian subvarieties $Y\subset X\_A=A\times\hat{A}$ and studying coherent sheaves on $A$ invariant under the action of $Y$. The …