%0 Journal Article
%T Quotients of functors of Artin rings
%A Tim Dokchitser
%J Mathematics
%D 2005
%I arXiv
%R 10.1017/S0305004108002090
%X In infinitesimal deformation theory, a classical criterion due to Schlessinger gives an intrinsic characterisation of functors that are pro-representable, and more generally, of the ones that have a hull. Our result is that in this setting the question of characterising group quotients can also be answered. In other words, for functors of Artin rings that have a hull, those that are quotients of pro-representable ones by a constant group action can be described intrinsically.
%U http://arxiv.org/abs/math/0511514v1