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Rational points of the group of components¶of a Néron model

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Abstract:

The structure of component groups of Néron models has been investigated on several occasions. Here we admit non-separably closed residue fields and are interested in the subgroup of rational points or, in other terms, in the subgroup of geometrically connected components of a Néron model. We consider Néron models of abelian varieties and of algebraic tori and give detailed computations in the case of Jacobians of curves.

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Authors and Affiliations

  1. Mathematisches Institut, Westfälische Wilhelms-Universität, Einsteinstraße 62, D-48149 Münster, Germany. e-mail: bosch@math.uni-muenster.de, , , , , , DE

    Siegfried Bosch

  2. CNRS, Laboratoire de Mathématiques Pures, Université de Bordeaux 1, 351, cours de la Libération, F-33405 Talence, France. e-mail: liu@math.u-bordeaux.fr, , , , , , FR

    Qing Liu

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  1. Siegfried Bosch
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  2. Qing Liu
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Received: 4 May 1998 / Revised version: 12 October 1998

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Bosch, S., Liu, Q. Rational points of the group of components¶of a Néron model. manuscripta math. 98, 275–293 (1999). https://doi.org/10.1007/s002290050140

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  • DOI: https://doi.org/10.1007/s002290050140

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