Let R be a positively graded algebra over a field k. We say that R is Hilbert-cyclotomic if the
numerator of its reduced Hilbert series has all of its roots on the unit circle. Such rings arise …

Abstract Let e 1,…, ec be positive integers and let Y⊆ P n be the monomial complete
intersection defined by the vanishing of x 1 e 1,…, xce c. In this paper, we study sharp upper …

This dissertation deals with questions concerning ideals and modules over graded or local
noetherian commutative rings. The main results deal with the quantitative analysis of free …