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Construction of G-Hilbert schemes

Mark Blume
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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.

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Mark Blume. 2011-02-07. Construction of G-Hilbert schemes. https://arxiv.org/abs/math/0607577

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