8 citations · 23 across the 19 of their papers we have counts for
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Free resolutions and marked families
Cristina Bertone, Francesca Cioffi, Paolo Lella
Let be a field and a Noetherian -algebra. In a paper of 2020, M. Albert, C. Bertone, M. Roggero and W. M. Seiler proved that, given a quasi-stable modu…
A combinatorial description of finite O-sequences and aCM genera
Francesca Cioffi, Paolo Lella, Maria Grazia Marinari
The goal of this paper is to explicitly detect all the arithmetic genera of arithmetically Cohen-Macaulay projective curves with a given degree . It is well-known that the arith…
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…
A network of rational curves on the Hilbert scheme
Paolo Lella
In this paper we introduce an effective method to construct rational deformations between couples of Borel-fixed ideals. These deformations are governed by flat families, so that t…
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…