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The E-polynomials of a stratification of the Hilbert scheme of points

Yi-Ning Hsiao
(University of Geneva)
Seminar
Onsdag, 14 november, 2018, at 14:15-15:15, in Aud. D4 (1531-219)
Abstrakt:

The stratification associated with the number of generators of the ideals of the punctual Hilbert scheme of points on the affine plane has been studied since the ' 70s.

I will present a formula for the E-polynomials of these strata. The proof uses a Grassmannian bundle structure on the refined Hilbert scheme: a particular flag-type generalization of Hilbert scheme, together with the motivic property of the E-polynomial.

Organiseret af: QGM
Kontaktperson: Gergely Bérczi