27 citations · 133 across the 37 of their papers we have counts for
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math.AC2018
Simplicial complexes of small codimension
Matteo Varbaro, Rahim Zaare-Nahandi
We show that a Buchsbaum simplicial complex of small codimension must have large depth. More generally, we achieve a similar result for simplicial complexes, a notion…
math.AC2018★ 19 cited
Square-free Groebner degenerations
Aldo Conca, Matteo Varbaro
Let I be a homogeneous ideal of a polynomial ring S. We prove that if the initial ideal J of I, w.r.t. a term order on S, is square-free, then the extremal Betti numbers of S/I and…
math.AC2018
Connectivity of hyperplane sections of domains
Matteo Varbaro
During the conference held in 2017 in Minneapolis for his 60th birthday, Gennady Lyubeznik proposed the following problem: Find a complete local domain and an element in it having…