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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] M. Artin Versal deformations and algebraic stacks. Invent. Math. 27 (1974), 165189.

[4] S. Keel and S. Mori Quotients by groupoids. Annals of Math. (2) 145 (1997), 193213.

[5] M. Schlessinger 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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