Smooth affine group schemes over the dual numbers

We provide an equivalence between the category of affine, smooth group schemes over the ring of generalized dual numbers $k[I]$, and the category of extensions of the form $1 \to \text{Lie}(G, I) \to E \to G \to 1$ where G is an affine, smooth group scheme over k. Here k is an arbitrary commutative...

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Bibliographic Details
Main Authors: Matthieu ROMAGNY, Dajano Tossici
Format: Article
Language:English
Published: Association Epiga 2019-07-01
Series:Épijournal de Géométrie Algébrique
Subjects:
Online Access:https://epiga.episciences.org/4792/pdf

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