5 problems

A monomial deformation of a Fermat hypersurface gives rise to a zeta-function with various factors, and monomial types may be considered modulo suitable equivalence relations. Mono…

For $d\geq2$, let … be the degree-$d$ Fermat hypersurface ring, and define $c_n$ and $c'_n$ by … … Here $\xi_{2d}$ is a primitive $2d$-th root of unity. Rationality conjecture. The…

Let $X$ be a Fermat hypersurface of degree $d$ and dimension parameter $r$, in the notation of the paper. Let $(\star)$ denote the distinguished-marking condition defined there. Fe…

Linear-bound conjecture. The number of real critical points of the critical equation is at most

Let $V$ be the subspace spanned by the immersed-point generators $X_1,ldots,X_{n+2}$, and write a deformation as $b=sum_{i=1}^{n+2}x_iX_i$. Let $W$ be the mirror superpotential obt…