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- W4300903943 abstract "Let k be an algebraically closed field of characteristic 0. The question of irreducibility of the punctual Hilbert scheme Hilb_d P^n and its Gorenstein locus for various d was studied in [CEVV8, CN9, CN10, CN11]. In this short paper we prove that the subschemes corresponding to the Gorenstein algebras having Hilbert function (1,5,5,1) are smoothable i.e. lie in the closure of the locus of smooth subschemes. Among the Gorenstein algebras of length 12 the smoothability of algebras having such Hilbert function seems to be the most inapproachable using non-direct tools e.g. structural theorems." @default.
- W4300903943 created "2022-10-04" @default.
- W4300903943 creator A5089765004 @default.
- W4300903943 date "2012-12-03" @default.
- W4300903943 modified "2023-09-30" @default.
- W4300903943 title "Local finite dimensional Gorenstein k-algebras having Hilbert function (1,5,5,1) are smoothable" @default.
- W4300903943 doi "https://doi.org/10.48550/arxiv.1212.0522" @default.
- W4300903943 hasPublicationYear "2012" @default.
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