2 problems

Fujita-type jet-ampleness conjecture. There exist integer-valued polynomial functions $a_\ell(n)$ and $b_\ell(n)$ depending only on $n$ such that

Let $X$ be a smooth projective variety of dimension $n$, let $L_d=dA+E$ with $A$ ample and $E$ an arbitrary divisor on $X$, and let $B$ be a line bundle on $X$. For the Koszul coho…