Secant v. Cactus

Irreducibility of multigraded Hilbert schemes of points in general position in the product of projective spaces

12 mai 2023, 09:30

1h

Building 1R3, Amphitheater Schwartz (Institut de Mathématiques de Toulouse)

Orateur

Tomasz Mandziuk (University of Warsaw)

Description

I will present some necessary conditions for a point of a multigraded Hilbert scheme corresponding to r points in general position in a smooth projective complex toric variaty to be in the Slip component. These criteria can be used to classify irreducible multigraded Hilbert schemes corresponding to points in general position in the product of projective spaces.