Deformation functors of local actions

Details Deformation functors of local actions Deformation functors of local actions

2011-12-01

arxiv.org/abs/1112.0352v1

Mathematics

Algebraic Geometry

23 pages

Scientific paper

We study the behaviour of infinitesimal deformation functors of local group
actions with regard to passing to subgroups and quotient groups. Inspired by
the cohomological information, we conjecture the existence of a decomposition
of a deformation functor of a local $G$-action as a smooth extension of a
fibered product of functors related to a subgroup and a quotient group of $G$.

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