Regularity of Tor for weakly stable ideals

Katie Ansaldi, Nicholas Clarke, Luigi Ferraro

It is proved that if $I$ and $J$ are weakly stable ideals in a polynomial ring $R=k[x_1,\dots ,x_n]$, with $k$ a field, then the regularity of ${\text{Tor}}_i^R(R/I,R/J)$ has the exp…