Construction of G-Hilbert schemes

preprint2011arXivOpen access

Abstract

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

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