33 citations · 132 across the 22 of their papers we have counts for
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Minimum-weight codewords of the Hermitian codes are supported on complete intersections
Chiara Marcolla, Margherita Roggero
Let be the Hermitian curve defined over a finite field . In this paper we complete the geometrical characterization of the supports of the minimum-w…
Computing Quot schemes via marked bases over quasi-stable modules
Mario Albert, Cristina Bertone, Margherita Roggero +1
Let be a field of arbitrary characteristic, a Noetherian -algebra and consider the polynomial ring . We consider homogeneous sub…
A general framework for Noetherian well ordered polynomial reductions
Michela Ceria, Teo Mora, Margherita Roggero
Polynomial reduction is one of the main tools in computational algebra with innumerable applications in many areas, both pure and applied. Since many years both the theory and an e…
Hermitian codes and complete intersections
Chiara Marcolla, Margherita Roggero
In this paper we present a geometrical characterization for the minimum-weight codewords of the Hermitian codes over the fields in the third and fourth phase, na…
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…
Macaulay-like marked bases
Cristina Bertone, Francesca Cioffi, Margherita Roggero
We define marked sets and bases over a quasi-stable ideal in a polynomial ring on a Noetherian -algebra, with a field of any characteristic. The involved polyn…
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…
The stratum of a strongly stable ideal
Margherita Roggero
Let J be a strongly stable monomial ideal in P=k[X0,...,Xn] and let BSt(J) be the family of all the homogeneous ideals in P such that the set N(J) of all the monomials that do not…
Segments and Hilbert schemes of points
Francesca Cioffi, Paolo Lella, Maria Grazia Marinari +1
Using results obtained from the study of homogeneous ideals sharing the same initial ideal with respect to some term order, we prove the singularity of the point corresponding to a…
Homogeneous varieties for Hilbert schemes
Giorgio Ferrarese, Margherita Roggero
The paper concerns the affine varieties that are homogeneous with respect to a (non-standard) graduation over the group Z^m. Among the other properties it is shown that every such…
Ideals with an assigned initial ideal
Margherita Roggero, Lea Terracini
The stratum St(J,<) (the homogeneous stratum Sth(J,<) respectively) of a monomial ideal J in a polynomial ring R is the family of all (homogeneous) ideals of R whose initial ideal…