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Quotients of functors of Artin rings


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]).

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[1]Artin, M.Versal deformations and algebraic stacks. Invent. Math. 27 (1974), 165189.
[2]Byszewski, J. and Cornelissen, G. Which weakly ramified group actions admit a universal formal deformation. (2007), arxiv: 0708.3279.
[3]Dokchitser, T. Deformations of p-divisible groups and p-descent on elliptic curves. Ph. D. thesis (Utrecht, 2000).
[4]Keel, S. and Mori, S.Quotients by groupoids. Annals of Math. (2) 145 (1997), 193213.
[5]Schlessinger, M.Functors of Artin rings. Trans. Amer. Math. Soc. 130 (1968), 208222.
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Mathematical Proceedings of the Cambridge Philosophical Society
  • ISSN: 0305-0041
  • EISSN: 1469-8064
  • URL: /core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society
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