Continuous CM-regularity of semihomogeneous vector bundles

Alex Küronya, Yusuf Mustopa

We show that if $X$ is an abelian variety of dimension $g\ge 1$ and $\mathcal{E}$ is an M-regular coherent sheaf on $X$, the Castelnuovo-Mumford regularity of $\mathcal{E}$ wit…