Poincare Series of Monomial Rings with Minimal Taylor Resolution

Abstract

We give a comparison between the Poincare series of two monomial rings: $R=A/I$ and $R_q=A/I_q$ where $I_q$ is a monomial ideal generated by the $q$'th power of monomial generators of $I$. We compute the Poincare series for a class of monomial rings with minimal Taylor resolution. The paper was produced during Pragmatic 2011.

10 pages

References in corpus (1)

• Monomial ideals with linear quotients whose Taylor resolutions are minimal