2006
DOI: 10.1007/s00209-006-0057-4
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On incidence between strata of the Hilbert scheme of points on $$\mathbb{P}^{2}$$

Abstract: The Hilbert scheme of n points in the projective plane has a natural stratification obtained from the associated Hilbert series. In general, the precise inclusion relation between the closures of the strata is still unknown. Guerimand, Ph.D Thesis, Universite'de Nice, 2002 studied this problem for strata whose Hilbert series are as close as possible. Preimposing a certain technical condition he obtained necessary and sufficient conditions for the incidence of such strata. In this paper we present a new approac… Show more

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Cited by 2 publications
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“…Although in general the precise inclusion relation is still unknown, the special case where the Hilbert series of the strata are as close as possible is completely settled (see [18,22]). It is a natural to consider the same question for the varieties Hilb n (P 2 q ), where one may use the same techniques as in [18].…”
Section: Proposition 63 For All Admissible Hilbert Series H With Wementioning
confidence: 99%
“…Although in general the precise inclusion relation is still unknown, the special case where the Hilbert series of the strata are as close as possible is completely settled (see [18,22]). It is a natural to consider the same question for the varieties Hilb n (P 2 q ), where one may use the same techniques as in [18].…”
Section: Proposition 63 For All Admissible Hilbert Series H With Wementioning
confidence: 99%