Formal completions of Néron models for algebraic tori

Oleg Demchenko; Alexander Gurevich; Xavier Xarles

doi:https://doi.org/10.1112/plms/pdp039

Formal completions of Néron models for algebraic tori

Oleg Demchenko, Alexander Gurevich, Xavier Xarles

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

2 Citations (Scopus)

Abstract

We calculate the formal group law that represents the completion of the Néron 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. © 2009 London Mathematical Society.

Original language	English
Pages (from-to)	607-638
Journal	Proceedings of the London Mathematical Society
Volume	100
DOIs	https://doi.org/10.1112/plms/pdp039
Publication status	Published - 1 May 2010

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Demchenko, O., Gurevich, A., & Xarles, X. (2010). Formal completions of Néron models for algebraic tori. Proceedings of the London Mathematical Society, 100, 607-638. https://doi.org/10.1112/plms/pdp039

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abstract = "We calculate the formal group law that represents the completion of the N{\'e}ron 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. {\textcopyright} 2009 London Mathematical Society.",

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AB - We calculate the formal group law that represents the completion of the Néron 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. © 2009 London Mathematical Society.

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