2 citations · 5 across the 4 of their papers we have counts for
4 papers
An efficient implementation of the algorithm computing the Borel-fixed points of a Hilbert scheme
Paolo Lella
Borel-fixed ideals play a key role in the study of Hilbert schemes. Indeed each component and each intersection of components of a Hilbert scheme contains at least one Borel-fixed…
Computable Hilbert Schemes
Paolo Lella
In this PhD thesis we propose an algorithmic approach to the study of the Hilbert scheme. Developing algorithmic methods, we also obtain general results about Hilbert schemes. In C…
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…