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math.AC2013
An intriguing ring structure on the set of d-forms
Jürgen Herzog, Leila Sharifan, Matteo Varbaro
The purpose of this note is to introduce a multiplication on the set of homogeneous polynomials of fixed degree d, in a way to provide a duality theory between monomial ideals of K…
math.AC2013
Componentwise regularity (I)
Giulio Caviglia, Matteo Varbaro
We define the notion of componentwise regularity and study some of its basic properties. We prove an analogue, when working with weight orders, of Buchberger's criterion to compute…
math.AC2013★ 17 cited
Multiplicities of Classical Varieties
Jack Jeffries, Jonathan Montaño, Matteo Varbaro
The -multiplicity plays an important role in the intersection theory of Stückrad-Vogel cycles, while recent developments confirm the connections between the -multiplicity and…