Quotients of functors of Artin rings

Details Quotients of functors of Artin rings Quotients of functors of Artin rings

2005-11-21

arxiv.org/abs/math/0511514v1

Mathematics

Algebraic Geometry

4 pages

Scientific paper

10.1017/S0305004108002090

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.

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