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- W4293771735 abstract "We study the inverse problem for the versal deformation rings $R(Gamma,V)$ of finite dimensional representations $V$ of a finite group $Gamma$ over a field $k$ of positive characteristic $p$. This problem is to determine which complete local commutative Noetherian rings with residue field $k$ can arise up to isomorphism as such $R(Gamma,V)$. We show that for all integers $n ge 1$ and all complete local commutative Noetherian rings $mathcal{W}$ with residue field $k$, the ring $mathcal{W}[[t]]/(p^n t,t^2)$ arises in this way. This ring is not a local complete intersection if $p^nmathcal{W}neq{0}$, so we obtain an answer to a question of M. Flach in all characteristics." @default.
- W4293771735 created "2022-08-31" @default.
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- W4293771735 date "2010-03-16" @default.
- W4293771735 modified "2023-09-23" @default.
- W4293771735 title "Deformation rings which are not local complete intersections" @default.
- W4293771735 doi "https://doi.org/10.48550/arxiv.1003.3143" @default.
- W4293771735 hasPublicationYear "2010" @default.
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