The close relation between border and Pommaret marked bases

Cristina Bertone, Francesca Cioffi

Given a finite order ideal $\mathcal{O}$ in the polynomial ring $K[x_1,\dots ,x_n]$ over a field $K$, let $\partial \mathcal{O}$ be the border of $\mathcal{O}$ and $\mathcal P_{\mathc…