Rational points of the group of components¶of a Néron model
@article{Bosch1998RationalPO, title={Rational points of the group of components¶of a N{\'e}ron model}, author={Siegfried Bosch and Qing Liu}, journal={manuscripta mathematica}, year={1998}, volume={98}, pages={275-293} }
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.
42 Citations
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We provide two proofs that the conjecture of Artin-Tate for a fibered surface
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