Natural G-constellation families

Logvinenko, Timothy ORCID: https://orcid.org/0000-0001-5279-6977 2008. Natural G-constellation families. Documenta Mathematica 13 , pp. 803-823.

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Abstract

Let G be a finite subgroup of GLn(C). G-constellations are a scheme-theoretic generalization of orbits of G in C n. We study flat families of G-constellations parametrised by an arbitrary resolution of the quotient space C n/G. We develop a geometrical naturality criterion for such families, and show that, for an abelian G, the number of equivalence classes of these natural families is finite. The main intended application is the derived McKay correspondence.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Mathematics
Subjects:	Q Science > QA Mathematics
Publisher:	Deutsche Mathematiker-Vereinigung
ISSN:	1431-0635
Date of First Compliant Deposit:	30 March 2016
Last Modified:	14 May 2023 09:12
URI:	https://orca.cardiff.ac.uk/id/eprint/45319

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