Frobenius vectors, Hilbert series and gluings

Abdallah Assi, Pedro A. García-Sánchez, Ignacio Ojeda

Let $S_1$ and $S_2$ be two affine semigroups and let $S$ be the gluing of $S_1$ and $S_2$. Several invariants of $S$ are then related to those of $S_1$ and $S_2$; we review some of…