3 problems

Let $X_{\underline{t}}$ be the family of anticanonical hypersurfaces associated with the polytope $\Delta$, let $\nabla$ be its Gauss–Manin connection, and let…

Borisov–Horja duality conjecture. There exists a collection of polynomials $p_{c,d}(x_1,\ldots,x_n)$, indexed by $c\in C$ and $d\in C^{\circ}$, such that only finitely many are non…

Covering conjecture. On each member of this open covering, the system $E(n,m)$ is represented locally by a $GKZ$ system; equivalently, the hypergeometric $\mathcal{D}$-modules of…