Daniel McGinnis, Multi-generic initial ideals, regularity, and the optimal colorful fractional Helly theorem for $d$-Leray complexes
A celebrated result of Bayer and Stillman from 1987 states that for a homogeneous ideal $I$ of a polynomial ring $S$, the regularities of $S/I$ and $S/\textrm{GIN}(I)$ are the same …