4 problems

Closed formula conjecture. The maximum-contact logarithmic Gromov--Witten invariants of this geometry have the closed-form solution stated in the source. The statement was conjectu…

A Looijenga pair is a rational smooth projective surface $S$ together with an anticanonical singular nodal curve $D_1+\cdots+D_l$. Its logarithmic Gromov--Witten invariants are den…

In Gross–Hacking–Keel's construction, let $X$ be a log Calabi–Yau surface and let its mirror be the spectrum of an algebra of theta functions, with the unit as its first example. W…

Let $X$ be smooth and projective with simple normal crossings divisor $D=D_1\cup\cdots\cup D_k$, where each component $D_i$ is nef. Let $\beta$ be a curve class and set … for every…