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math.AC2010
On the last Hilbert-Samuel coefficient of isolated singularities
Juan Elias
In 1978 Lipman presented a proof of the existence of a desingularization for any excellent surface. The strategy of Lipman's proof is based on the finiteness of the number H(R) def…
math.AC2010
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…