2 citations · 2 across the 3 of their papers we have counts for
4 papers
The Poincaré series of a local Gorenstein ring of multiplicity up to 10 is rational
Gianfranco Casnati, Roberto Notari
Let be a local, Gorenstein ring with algebraically closed residue field of characteristic 0 and let $P_R(z):=\sum_{p=0}^{\infty}\dim_k(\tor_p^R(k,k))z^p$ be its Poincaré se…
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…
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…
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…