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arXiv · 1909.01046

Extending tamely ramified strict 1-motives into ket log 1-motives

Heer Zhao
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Abstract

We define ket abelian schemes, ket 1-motives, and ket log 1-motives, and formulate duality theory for these objects. Then we show that tamely ramified strict 1-motives over a complete discrete valuation field can be extended to ket log 1-motives over the corresponding discrete valuation ring. As an application, we present a proof to a result of Kato stated in one of his preprint without proof.

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Heer Zhao. 2019-09-03. Extending tamely ramified strict 1-motives into ket log 1-motives. https://doi.org/10.1017/fms.2021.5

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