Computation of Poincare-Betti series for monomial rings

Details Computation of Poincare-Betti series for monomial rings Computation of Poincare-Betti series for monomial rings

2005-02-16

arxiv.org/abs/math/0502348v1

Rend. Istit. Mat. Univ. Trieste 37 (2005), no. 1-2, 85--94 (2006)

Mathematics

Commutative Algebra

8 pages, prepared for the School and Workshop on Algebraic geometry and statistics at Politecnico Torino in September 2004

Scientific paper

The multigraded Poincare-Betti series P_R^k(x_1,...,x_n; t) of a monomial ring k[x_1,...,x_n]/ on a finite number of monomial generators has the form (1+tx_1)(1+tx_2)...(1+tx_n)/b_(R,k)(x_1,...,x_n; t), where b_(R,k)(x_1,...,x_n;t) is a polynomial depending only on the monomial set M and the characteristic of the field k. I present a computer program designed to calculate the polynomial b_(R,k) for a given field characteristic and a given set of monomial generators.

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