Extending tamely ramified strict 1-motives into két log 1-motives
Keyword(s):
Abstract 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.
1990 ◽
Vol 42
(2)
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pp. 342-364
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2019 ◽
Vol 56
(2)
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pp. 260-266
2011 ◽
Vol 148
(1)
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pp. 227-268
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2005 ◽
Vol 134
(7)
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pp. 1869-1873
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