ON THE DENOMINATOR OF THE POINCARÉ SERIES FOR MONOMIAL QUOTIENT RINGS

ABSTRACT

Let S = 𝕂[x ₁, …, x _n ] be a polynomial ring over a field 𝕂 and I a monomial ideal of S. It is well known that the Poincaré series of 𝕂 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.

ACKNOWLEDGMENT

Thanks are due to J. Backelin and the faculty of the Department of Mathematics in Stockholm, for useful discussions during my brief stay in 1996.

Notes

^#Communicated by I. Swanson.