9 problems

Let $S$ be a smooth projective surface and let $L$ be a line bundle on it. Define … Here $H$ is the divisor corresponding to $L$, $K$ is the canonical divisor, and … Let…

Symmetric-power conjecture. For every $k\leq n+r(a+1)$,

Exterior-power conjecture. For every $k\leq n+r(a+1)$,

Let $F$ be a $(k-1)$-very ample bundle of rank $r$ on an Enriques surface. Write … where $v=v(F)=\operatorname{ch}(F)\sqrt{\operatorname{Td}(X)}$ is the Mukai vector. Improved boun…

Let $S$) be a smooth connected surface with $h^1(O_S)=0$ whose Picard group is generated by line bundles $\mathcal{L}_1,\cdots,\mathcal{L}_m$. Consider a line bundle…

Marian–Oprea–Pandharipande conjecture. The universal series are

Finite Quot tautological Chern-class conjecture. One has

Universal-series correspondence. The series satisfy

Wang's conjecture. One has