Poincare Series of Monomial Rings with Minimal Taylor Resolution

Details Poincare Series of Monomial Rings with Minimal Taylor Resolution Poincare Series of Monomial Rings with Minimal Taylor Resolution

2011-10-13

arxiv.org/abs/1110.2928v1

Mathematics

Commutative Algebra

10 pages

Scientific paper

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.

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