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- W4288365061 abstract "Given a Henselian and Japanese discrete valuation ring $A$ and a flat and projective $A$-scheme $X$, we follow the approach of Biswas-dos Santos to introduce a full subcategory of coherent modules on $X$ which is then shown to be Tannakian. We then prove that, under normality of the generic fibre, the associated affine and flat group is pro-finite in a strong sense (so that its ring of functions is a Mittag-Leffler $A$-module) and that it classifies finite torsors $Qto X$. This establishes an analogy to Nori's theory of the essentially finite fundamental group. In addition, we compare our theory with the ones recently developed by Mehta-Subramanian and Antei-Emsalem-Gasbarri. Using the comparison with the former, we show that any quasi-finite torsor $Qto X$ has a reduction of structure group to a finite one." @default.
- W4288365061 created "2022-07-29" @default.
- W4288365061 creator A5020694693 @default.
- W4288365061 creator A5022384537 @default.
- W4288365061 date "2019-04-24" @default.
- W4288365061 modified "2023-09-25" @default.
- W4288365061 title "Finite torsors on projective schemes defined over a discrete valuation ring" @default.
- W4288365061 doi "https://doi.org/10.48550/arxiv.1904.10659" @default.
- W4288365061 hasPublicationYear "2019" @default.
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