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math.AC2021
Castelnuovo-Mumford regularity and powers
Winfried Bruns, Aldo Conca, Matteo Varbaro
This note has two goals. The first is to give a short and self contained introduction to the Castelnuovo-Mumford regularity for standard graded ring over a general base ring. T…
math.AC2021★ 1 cited
Gröbner deformation and -singularities
Mitra Koley, Matteo Varbaro
For polynomial ideals in positive charachteristic, defining -split rings and admitting a squarefree monomial initial ideal are different notions. In this note we show that, howe…
math.CO2021
Hamiltonian paths, unit-interval complexes, and determinantal facet ideals
Bruno Benedetti, Lisa Seccia, Matteo Varbaro
We study d-dimensional generalizations of three mutually related topics in graph theory: Hamiltonian paths, (unit) interval graphs, and binomial edge ideals. We provide partial hig…