Construction of G-Hilbert schemes

Abstract

In this paper we construct $G$-Hilbert schemes for finite group schemes $G$. We find a construction of $G$-Hilbert schemes as relative $G$-Hilbert schemes over the quotient that does not need the Hilbert scheme of $n$ points, works under more natural assumptions and gives additional information about the morphism from the $G$-Hilbert scheme to the quotient.

short version

References in corpus (4)

• La correspondance de McKay
• Mukai implies McKay: the McKay correspondence as an equivalence of derived categories
• How to calculate A-Hilb C^3
• Moduli of McKay quiver representations II: Groebner basis techniques