, Volume 98, Issue 3, pp 275-293

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.

Received: 4 May 1998 / Revised version: 12 October 1998