### 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 |
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Pages (from-to) | 607-638 |

Journal | Proceedings of the London Mathematical Society |

Volume | 100 |

DOIs | |

Publication status | Published - 1 May 2010 |

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## Cite this

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