Réduction des groupes algébriques commutatifs

Boris KUNYAVSKII; Jean-Jacques SANSUC

doi:10.2969/jmsj/05320457

Journal of the Mathematical Society of Japan

Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645

Réduction des groupes algébriques commutatifs

Boris KUNYAVSKII, Jean-Jacques SANSUC

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Keywords: Algebraic torus, abelian variety, reduction, unipotent group

JOURNAL FREE ACCESS

2001 Volume 53 Issue 2 Pages 457-483

DOI https://doi.org/10.2969/jmsj/05320457

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Abstract

We study a problem of constructing an algebraic torus (an abelian variety) over a p-adic field whose Néron model would have a given connected commutative unipotent group as the identity component of its special fibre.

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