Formal completions of Néron models for algebraic tori

Details Formal completions of Néron models for algebraic tori Formal completions of Néron models for algebraic tori

2007-04-19

arxiv.org/abs/0704.2578v3

Mathematics

Algebraic Geometry

35 pages. New version with new functoriality results. Final version in the Proceedings of the London Mathematical Society, lin

Scientific paper

10.1112/plms/pdp039

We calculate the formal group law which represents the completion of the N\'eron model of an algebraic torus over the rationals that splits in a tamely ramified abelian extension. As a tools in the proof, we define and give criterions to compute the Weil restriction of a formal group law and the analog of the fixed part of a formal group law with respect to the action of a (finite) group.

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