2 problems

Let $(X,\Theta)$ be an irreducible principally polarized abelian variety, let $Y\subset X$ be a non-degenerate subvariety of dimension $m$, and write $\theta=c_1(\Theta)$. Say that…

Let $X$ be an abelian variety, let $A$ be an ample line bundle on $X$, and let $m(A)$ denote its index of $M$-regularity. For non-negative integers $p\ge m$, Pareschi–Popa's syzygy…