9 problems

Let $E\subset \mathbb P^2$ be a smooth cubic, and consider genus-zero maximal-contact relative Gromov–Witten invariants of $(\mathbb P^2,E)$, together with the local Gromov–Witten…

Let $(Y,D=D_1+\dots+D_l)$ be a log-smooth log Calabi–Yau pair of maximal boundary. For $\mathsf{m}=1,\dots,l+1$, let…

Let $X$ be a smooth projective variety, let $D=D_1+\cdots+D_n$ be an effective reduced normal crossing divisor with smooth, irreducible, nef components, and let $I_1,\ldots,I_m$ pa…

Let $X$ be a smooth projective variety and let $D=D_1+\cdots+D_n$ be an effective reduced normal crossing divisor with each $D_i$ smooth, irreducible, and nef. Let $I_1,\ldots,I_m$…

Let $X$ be a smooth projective variety and let $D=D_1+\cdots+D_n$ be an effective reduced normal crossing divisor whose components $D_i$ are smooth, irreducible, and nef. For a cur…

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…

Let $E\subset [?]$ be a smooth cubic curve. Relative Gromov--Witten invariants of $(\mathbb{P}^2,E)$ with maximal contact order are compared with local Gromov--Witten invariants of…

The log-local principle. After dividing the log invariants by

Let $D\subset X$ be a normal crossing divisor with smooth nef components $D_1,\ldots,D_k$, and let $\beta$ be a curve class such that … for every $i$. Write … for the forgetful map…