On the Denominator of the Poincaré series for monomial quotient rings

Details On the Denominator of the Poincaré series for monomial quotient rings On the Denominator of the Poincaré series for monomial quotient rings

2004-12-15

arxiv.org/abs/math/0412295v1

Mathematics

Commutative Algebra

Communications in Algebra, accepted

Scientific paper

Let $S=\Bbbk[x_1,..., x_n]$ be a polynomial ring over a field $\Bbbk$ and $I$
a monomial ideal of $S$. It is well known that the Poincar\'e series of $\Bbbk$
over $S/I$ is rational. We describe the coefficients of the denominator of the
series and study the multigraded homotopy Lie algebra of $S/I$.

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