4 citations · 12 across the 18 of their papers we have counts for
5 papers · 1 filter
Ubiquity of complete intersection liaison classes
Mark Johnson, Paolo Mantero
In this paper, we provide constructions to enumerate large numbers of CI-liaison classes. To this end, we introduce a liaison invariant and prove several results concerning it, not…
Arithmetical rank of strings and cycles
Kyouko Kimura, Paolo Mantero
Let be a polynomial ring over a field . To a given squarefree monomial ideal , one can associate a hypergraph . In this article, we prove that the arithme…
A Tight Bound on the Projective Dimension of Four Quadrics
Craig Huneke, Paolo Mantero, Jason McCullough +1
Motivated by Stillman's question, we show that the projective dimension of an ideal generated by four quadric forms in a polynomial ring is at most 6; moreover, this bound is tight…
A multiplicity bound for graded rings and a criterion for the Cohen-Macaulay property
Craig Huneke, Paolo Mantero, Jason McCullough +1
Let be a polynomial ring over a field. We prove an upper bound for the multiplicity of when is a homogeneous ideal of the form , where is a Cohen-Macaula…
Generalized stretched ideals and Sally Conjecture
Paolo Mantero, Yu Xie
We introduce the concept of -stretched ideals in a Noetherian local ring. This notion generalizes to arbitrary ideals the classical notion of stretched -primary id…