Geodesic
Extending tamely ramified strict 1-motives into két log 1-motives
Forum of Mathematics, Sigma, Tome 9 (2021)

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We define két abelian schemes, két 1-motives and két log 1-motives and formulate duality theory for these objects. Then we show that tamely ramified strict 1-motives over a discrete valuation field can be extended uniquely to két log 1-motives over the corresponding discrete valuation ring. As an application, we present a proof to a result of Kato stated in [12, §4.3] without proof. To a tamely ramified strict 1-motive over a discrete valuation field, we associate a monodromy pairing and compare it with Raynaud’s geometric monodromy. 
@article{10_1017_fms_2021_5,
     author = {Heer Zhao},
     title = {Extending tamely ramified strict 1-motives into k\'et log 1-motives},
     journal = {Forum of Mathematics, Sigma},
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     year = {2021},
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Heer Zhao. Extending tamely ramified strict 1-motives into két log 1-motives. Forum of Mathematics, Sigma, Tome 9 (2021). doi: 10.1017/fms.2021.5

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