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math.AG2008
On the Gorenstein locus of some punctual Hilbert schemes
Gianfranco Casnati, Roberto Notari
Let be an algebraically closed field and let $\Hilb_{d}^{G}(\p{N})$ be the open locus of the Hilbert scheme $\Hilb_{d}(\p{N})$ corresponding to Gorenstein subschemes. We prove…
math.AG2007★ 2 cited
On the birational geometry of moduli spaces of pointed curves
Edoardo Ballico, Gianfranco Casnati, Claudio Fontanari
We prove that the moduli space ${\Cal M}_{g,n}$ of smooth curves of genus with marked points is rational for and , and it is unirational for and…
math.AG2001
Quadratic sheaves and self-linkage
Gianfranco Casnati, Fabrizio Catanese
Generalizing an old result proved by P. Rao [see MR 83i:14025] for arithmetically Cohen-Macaulay, self-linked subschemes of codimension 2 in the projective n-space P, we give a cha…