33 citations · 132 across the 22 of their papers we have counts for
5 papers · 1 filter
Borel Degenerations of Arithmetically Cohen-Macaulay curves in P^3
Gunnar Floystad, Margherita Roggero
We investigate Borel ideals on the Hilbert scheme components of arithmetically Cohen-Macaulay (ACM) codimension two schemes in P^n. We give a basic necessary criterion for a Borel…
The locus of points of the Hilbert scheme with bounded regularity
Edoardo Ballico, Cristina Bertone, Margherita Roggero
In this paper we consider the Hilbert scheme parameterizing subschemes of with Hilbert polynomial , and we investigate its locus containing points corre…
Upgraded methods for the effective computation of marked schemes on a strongly stable ideal
Cristina Bertone, Francesca Cioffi, Paolo Lella +1
Let be a monomial strongly stable ideal. The collection $\Mf(J)$ of the homogeneous polynomial ideals , such that the monomials outside form a $K…
Extensors and the Hilbert scheme
Jerome Brachat, Paolo Lella, Bernard Mourrain +1
The Hilbert scheme parametrizes closed subschemes and families of closed subschemes in the projective space with a fixed Hilbert polynomia…
Flat families by strongly stable ideals and a generalization of Groebner bases
Francesca Cioffi, Margherita Roggero
Let J be a strongly stable monomial ideal in S=K[x_1,...,x_n] and let Mf(J) be the family of all homogeneous ideals I in S such that the set of all terms outside J is a K-vector ba…