8 problems

Multiple Cover Formula.

Let $S$ be a K3 surface, let $\beta$ be a primitive curve class, let $m$ be a positive integer, and let $\gamma_1,\ldots,\gamma_n$ be cohomology insertions. Let…

Jiang's twisted multiple-cover conjecture. If $H^{0,1}(S)=H^{0,2}(S)=0$, there exist rational numbers $\operatorname{VW}^{\operatorname{tw}}_{\alpha_i}({\mathfrak S})$ such that

Let $A$ be an abelian threefold, and let $\beta\in H_2(A,\mathbb Z)$ be a curve class of type $(d_1,d_2,d_3)$. Write $\mathsf{DT}^{\mathrm{red}}_{n,(d_1,d_2,d_3)}$ for the reduced…

Let $N_{n,\beta}$ denote the invariants appearing in the Gopakumar–Vafa-type product expansion of the stable-pair generating series, and let $(n,\beta)$ denote the common divisibil…

Toda's K3 multiple cover conjecture. We have

Toda's local multiple cover conjecture. We have

Joyce–Song multiple cover conjecture. We have