The University of Michigan Combinatorics Seminar
Winter 2003
January 24, 4:10-5:00, 3866 East Hall

Cohen-Macaulay rings and polynomials with real zeros

Jason Bell

U. Michigan


Let a(z) be a polynomial which has positive integer coefficients, a constant term of one, and only real zeros. We show that a(z) appears in the numerator of the Hilbert series of some Cohen-Macaulay ring, and present some evidence in favor of the stronger assertion that a(t) is the f-polynomial of a simplicial complex.

This is joint work with Mark Skandera.