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- W2776641506 abstract "We study the special fibers of the minimal proper regular models of proper smooth geometrically integral curves of genus one over a complete discrete valuation field. We classify the configurations of their irreducible components when the residue field is perfect. As an application, we show the existence of separable closed points of small degree on the original curves when the residue field is finite. Finally, we extend this result under mild assumptions on the residue field and the degenerations of their Jacobians." @default.
- W2776641506 created "2018-01-05" @default.
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- W2776641506 date "2017-11-30" @default.
- W2776641506 modified "2023-10-14" @default.
- W2776641506 title "Models of torsors under elliptic curves" @default.
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- W2776641506 doi "https://doi.org/10.5802/pmb.16" @default.
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