27 citations · 133 across the 37 of their papers we have counts for
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math.AC2019★ 2 cited
Singularities and radical initial ideals
Alexandru Constantinescu, Emanuela De Negri, Matteo Varbaro
What kind of reduced monomial schemes can be obtained as a Gröbner degeneration of a smooth projective variety? Our conjectured answer is: only Stanley-Reisner schemes associated t…
math.AC2019★ 2 cited
CCM property and Lyubeznik numbers under Groebner deformations
Parvaneh Nadi, Matteo Varbaro
In this note we draw some interesting consequences of the recent results on squarefree Groebner degenerations obtained by Conca and the second author.
math.AC2019★ 6 cited
Regularity, singularities and -vector of graded algebras
Hailong Dao, Linquan Ma, Matteo Varbaro
Let be a standard graded algebra over a field. We investigate how the singularities of affect its -vector, which is the coefficients of the numerator of its Hilbert seri…