18-22 December 2023
Kavli IPMU, Kashiwa, Japan
Asia/Tokyo timezone

The invariant Hilbert scheme of the Cox realization

18 Dec 2023, 11:00
30m
Lecture Hall (Kavli IPMU, Kashiwa, Japan)

Lecture Hall

Kavli IPMU, Kashiwa, Japan

Kashiwa, Japan

Speaker

Ayako Kubota (Waseda)

Description

The invariant Hilbert scheme is a moduli space of schemes which are stable under an action of a reductive algebraic group. By a suitable choice of the parameter, it becomes a candidate for a resolution of singularities of an affine quotient variety via the so-called Hilbert-Chow morphism. In this talk, we will focus on the Cox realization as a way to represent an affine singularity as a quotient variety and consider the associated invariant Hilbert scheme.

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