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math.AG2012
Smooth curves specialize to extremal curves
Robin Hartshorne, Paolo Lella, Enrico Schlesinger
Let denote the Hilbert scheme of locally Cohen-Macaulay curves of degree and genus in projective three space. We show that, given a smooth irreducible curve o…
cs.SC2012
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…
math.AG2012★ 1 cited
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…