2 problems

Let $P(n,d)$ denote a bound for the projective dimension in Stillman's question: for every polynomial ring $S$ over a field and every graded ideal generated by $n$ forms of degree…

Let $S$ be a polynomial ring over a field, and let $I\subseteq S$ be an ideal generated by $n$ quadrics and of height $h$. Ananyan–Hochster's quadratic bound conjecture. One has ……