2 problems

Let $S$ be a polynomial ring, let $I_{\mathcal L}$ be a lattice ideal in $S$, and let $M$ be its initial ideal with respect to some term order. For a prime ideal $P$ in $S$, write…

Engström's conjecture. For any lattice ideal with a Gröbner basis, there is an $N$ such that the connectivity of every $N$-large fiber graph satisfies