39 citations · 90 across the 29 of their papers we have counts for
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A structure theorem for 2-stretched Gorenstein algebras
Gianfranco Casnati, Roberto Notari
In this paper we study the isomorphism classes of local, Artinian, Gorenstein k-algebras A whose maximal ideal M satisfies dim_k(M^3/M^4)=1 by means of Macaulay's inverse system ge…
On the rationality of Poincaré series of Gorenstein algebras via Macaulay's correspondence
Gianfranco Casnati, Joachim Jelisiejew, Roberto Notari
Let be a local Artinian Gorenstein ring with algebraically closed residue field of characteristic 0, and let $P_A(z) := \sum_{p=0}^{\infty} ({\mathrm{ Tor}}_p^A…
Poincaré series and deformations of Gorenstein local algebras with low socle degree
Gianfranco Casnati, Juan Elias, Roberto Notari +1
Let be an algebraically closed field of characteristic , and let be an Artinian Gorenstein local commutative and Noetherian --algebra, with maximal ideal . In the…
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…