33 citations · 132 across the 22 of their papers we have counts for
4 papers · 1 filter
The scheme of liftings and applications
Cristina Bertone, Francesca Cioffi, Margherita Guida +1
We study the locus of the liftings of a homogeneous ideal in a polynomial ring over any field. We prove that this locus can be endowed with a structure of scheme …
Term-ordering free involutive bases
Michela Ceria, Teo Mora, Margherita Roggero
In this paper, we consider a monomial ideal J in P := A[x1,...,xn], over a commutative ring A, and we face the problem of the characterization for the family Mf(J) of all homogeneo…
On the functoriality of marked families
Paolo Lella, Margherita Roggero
The application of methods of computational algebra has recently introduced new tools for the study of Hilbert schemes. The key idea is to define flat families of ideals endowed wi…
Minimal Castelnuovo-Mumford regularity for a given Hilbert polynomial
Francesca Cioffi, Paolo Lella, M. Grazia Marinari +1
Let be an algebraically closed field of null characteristic and a Hilbert polynomial. We look for the minimal Castelnuovo-Mumford regularity of closed subsche…