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arXiv:0704.2578 [math.AG]AbstractReferencesReviewsResources

Formal completions of Néron models for algebraic tori

Oleg Demchenko, Alexander Gurevich, Xavier Xarles

Published 2007-04-19, updated 2009-11-19Version 3

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.

Comments: 35 pages. New version with new functoriality results. Final version in the Proceedings of the London Mathematical Society, link: http://plms.oxfordjournals.org/cgi/content/abstract/pdp039?ijkey=NVyJlz51HbzrzxM&keytype=ref
Categories: math.AG, math.NT
Subjects: 14L05, 14G25
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