Aarhus Universitets segl

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

Yi-Ning Hsiao (University of Geneva)
Onsdag 14. november 2018 14:15–15:15 Aud. D4 (1531-219)

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
Kontakt: Gergely Bérczi Revideret: 13.11.2018