The G-Hilbert scheme for 1/r(1,a,r-a)

Details The G-Hilbert scheme for 1/r(1,a,r-a) The G-Hilbert scheme for 1/r(1,a,r-a)

2010-01-13

arxiv.org/abs/1001.2193v2

Mathematics

Algebraic Geometry

17 pages, 1 figure; to appear in Glasgow Mathematical Journal

Scientific paper

Following Craw, Maclagan, Thomas and Nakamura's work on Hilbert schemes for
abelian groups, we give an explicit description of the G-Hilbert scheme for G
equal to a cyclic group of order r, acting on C^3 with weights 1,a,r-a. We
describe how the combinatorial properties of the fan of G-Hilbert scheme
relates to the Euclidean algorithm.

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