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- W2019012945 abstract "Let R be a Henselian discrete valuation ring with field of fractions K. If X is a smooth variety over K and G a torus over K, then we consider X-torsors under G. If XX/R is a model of X then, using a result of Brahm, we show that X-torsors under G extend to XX-torsors under a Neron model of G if G is split by a tamely ramified extension of K. It follows that the evaluation map associated to such a torsor factors through reduction to the special fibre. In this way we can use the geometry of the special fibre to study the arithmetic of X." @default.
- W2019012945 created "2016-06-24" @default.
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- W2019012945 date "2009-11-25" @default.
- W2019012945 modified "2023-09-27" @default.
- W2019012945 title "Torsors under tori and N'eron models" @default.
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