Gröbner Bases for Increasing Sequences

Gábor Hegedüs, Lajos Rónyai

Let $q,n\ge 1$ be integers, $[q]=\{1,\dots ,q\}$, and $\mathbb{F}$ be a field with $|\mathbb{F}|\ge q$. The set of increasing sequences $$ I(n,q)=\{(f_1,f_2, \dots, f_n) \in [q]^…