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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.AC2008
Integrally closed and componentwise linear ideals
Aldo Conca, Emanuela De Negri, Maria Evelina Rossi
In two dimensional regular local rings integrally closed ideals have a unique factorization property and have a Cohen-Macaulay associated graded ring. In higher dimension these pro…