Construction of G-Hilbert schemes

Details Construction of G-Hilbert schemes Construction of G-Hilbert schemes

2006-07-23

arxiv.org/abs/math/0607577v4

Math. Nachr. 284 (2011), 953-959

Mathematics

Algebraic Geometry

short version

Scientific paper

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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