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Deformation functors of local actions (1112.0352v1)
Published 1 Dec 2011 in math.AG and math.NT
Abstract: 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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