Quotients of functors of Artin rings
Algebraic Geometry
2013-09-23 v1 Commutative Algebra
Abstract
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.
Keywords
Cite
@article{arxiv.math/0511514,
title = {Quotients of functors of Artin rings},
author = {Tim Dokchitser},
journal= {arXiv preprint arXiv:math/0511514},
year = {2013}
}
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4 pages