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On the Gorenstein locus of the punctual Hilbert scheme of degree 11

2014; Elsevier BV; Volume: 218; Issue: 9 Linguagem: Inglês

10.1016/j.jpaa.2014.01.004

ISSN

1873-1376

Autores

Gianfranco Casnati, Roberto Notari,

Tópico(s)

Algebraic structures and combinatorial models

Resumo

Let k be an algebraically closed field of characteristic 0 and let HilbdG(PkN) be the open locus of the Hilbert scheme Hilbd(PkN) corresponding to Gorenstein subschemes. We proved in several previous papers that HilbdG(PkN) is irreducible for d⩽10 and N⩾1, characterizing its singular locus. In the present paper we prove that also Hilb11G(PkN) is irreducible for each N⩾1. We also give some results about its singular locus.

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