• Corpus ID: 117040368

# Special points and Poincar\'e bi-extensions, with an Appendix by Bas Edixhoven

@article{Bertrand2011SpecialPA,
title={Special points and Poincar\'e bi-extensions, with an Appendix by Bas Edixhoven},
author={D. Bertrand},
journal={arXiv: Number Theory},
year={2011}
}
• D. Bertrand
• Published 27 April 2011
• Mathematics
• arXiv: Number Theory
i) in a joint project with D. Masser, A. Pillay and U. Zannier [7], we aim at extending to semi-abelian schemes the Masser-Zannier approach [11] to Conjecture 6.2 of R. Pink’s preprint [13]; this conjecture also goes under the name “Relative Manin-Mumford ”. Inspired by Anand Pillay’s suggestion that the semi-constant extensions of [6] may bring trouble, I found a counter-example, which is described in Section 1 below.

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### Key words : semi-abelian varieties, Manin-Mumford conjecture, one-motives, generalized jacobians, special points, mixed Shimura varieties

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