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Quotients of functors of Artin rings

Published online by Cambridge University Press:  01 May 2009

TIM DOKCHITSER
TIM DOKCHITSER*
Affiliation:
Robinson College, Cambridge CB3 9AN. e-mail: t.dokchitser@dpmms.cam.ac.uk
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Extract

One of the fundamental problems in the study of moduli spaces is to give an intrinsic characterisation of representable functors of schemes, or of functors that are quotients of representable ones of some sort. Such questions are in general hard, leading naturally to geometry of algebraic stacks and spaces (see [1, 4]).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 146 , Issue 3 , May 2009 , pp. 531 - 534
Copyright
Copyright © Cambridge Philosophical Society 2008

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References

REFERENCES

[1]Artin, M.Versal deformations and algebraic stacks. Invent. Math. 27 (1974), 165–189.CrossRefGoogle Scholar
[2]Byszewski, J. and Cornelissen, G. Which weakly ramified group actions admit a universal formal deformation. (2007), arxiv: 0708.3279.Google Scholar
[3]Dokchitser, T. Deformations of p-divisible groups and p-descent on elliptic curves. Ph. D. thesis (Utrecht, 2000).Google Scholar
[4]Keel, S. and Mori, S.Quotients by groupoids. Annals of Math. (2) 145 (1997), 193–213.CrossRefGoogle Scholar
[5]Schlessinger, M.Functors of Artin rings. Trans. Amer. Math. Soc. 130 (1968), 208–222.CrossRefGoogle Scholar