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math.AC2008
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…
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…