Formal completions of Néron models for algebraic tori

Oleg Demchenko; Alexander Gurevich; Xavier Xarles

doi:10.1112/plms/pdp039

Formal completions of Néron models for algebraic tori

Oleg Demchenko, Alexander Gurevich, Xavier Xarles

Departamento de Matemáticas

Producción científica: Contribución a una revista › Artículo › Investigación › revisión exhaustiva

3 Citas (Scopus)

Resumen

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.

Idioma original	Inglés
Páginas (desde-hasta)	607-638
Publicación	Proceedings of the London Mathematical Society
Volumen	100
DOI	https://doi.org/10.1112/plms/pdp039
Estado	Publicada - 1 may 2010

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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.",

author = "Oleg Demchenko and Alexander Gurevich and Xavier Xarles",

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T1 - Formal completions of Néron models for algebraic tori

AU - Demchenko, Oleg

AU - Gurevich, Alexander

AU - Xarles, Xavier

PY - 2010/5/1

Y1 - 2010/5/1

N2 - 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.

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.

U2 - 10.1112/plms/pdp039

DO - 10.1112/plms/pdp039

M3 - Article

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VL - 100

SP - 607

EP - 638

JO - Proceedings of the London Mathematical Society

JF - Proceedings of the London Mathematical Society

ER -

Formal completions of Néron models for algebraic tori

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