Formal completions of Neron models for algebraic tori
被引:3
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作者:
Demchenko, Oleg
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机构:
St Petersburg State Univ, Dept Math & Mech, St Petersburg 198504, RussiaSt Petersburg State Univ, Dept Math & Mech, St Petersburg 198504, Russia
Demchenko, Oleg
[1
]
Gurevich, Alexander
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机构:St Petersburg State Univ, Dept Math & Mech, St Petersburg 198504, Russia
Gurevich, Alexander
Xarles, Xavier
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机构:
Bar Ilan Univ, Dept Math, IL-52900 Ramat Gan, Israel
Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Catalonia, SpainSt Petersburg State Univ, Dept Math & Mech, St Petersburg 198504, Russia
Xarles, Xavier
[2
,3
]
机构:
[1] St Petersburg State Univ, Dept Math & Mech, St Petersburg 198504, Russia
[2] Bar Ilan Univ, Dept Math, IL-52900 Ramat Gan, Israel
[3] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Catalonia, Spain
We calculate the formal group law that represents the completion of the Neron model for an algebraic torus over Q split in a tamely ramified abelian extension. To that end, we introduce an analogue of the fixed part of a formal group law with respect to a group action and give a method to compute its Honda p-types.