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THE G-HILBERT SCHEME FOR $\(\frac{1}{r}(1,a,r-a)\)$

Published online by Cambridge University Press:  25 August 2010

OSKAR KĘDZIERSKI
OSKAR KĘDZIERSKI*
Affiliation:
Institute of Mathematics, Warsaw University, ul. Banacha 2, 02-097 Warszawa, Poland e-mail: oskar@mimuw.edu.pl
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Abstract

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Following Craw, Maclagan, Thomas and Nakamura's works[2, 7] on Hilbert schemes for abelian groups, we give an explicit description of theHilbGℂ3 scheme for G = 〈diag(ϵ, ϵa, ϵr−a)〉 by a classification of all G-sets. We describe how the combinatorial properties of the fan of HilbGℂ3 relates to the Euclidean algorithm.

Keywords

Primary 14E16Secondary 14C0514B05

Information

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 53 , Issue 1 , January 2011 , pp. 115 - 129
Copyright
Copyright © Glasgow Mathematical Journal Trust 2010

References

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