Hongmiao Yu

Politecnico di Torino

The weak and strong Lefschetz properties for initial ideals of determinantal ideals with respect to diagonal monomial orders

We study the weak and strong Lefschetz properties for the Stanley–Reisner ring $R/\text{in}(I_t)$, where $I_t$ is the ideal of a polynomial ring $R$ generated by the $t$-minors of an $m\times n$ matrix of indeterminates, and $\text{in}(I_t)$ denotes the initial ideal of $I_t$ with respect to a diagonal monomial order.