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

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arxiv 1104.5178 v1 pith:QJNIDXN4 submitted 2011-04-27 math.NT math.AG

classification math.NTmath.AG
keywords appendixbi-extensionsconjecturecounter-exampleedixhovengivesmanin-mumfordpoincar
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The paper gives a counter-example to the relative version of the Manin-Mumford conjecture.

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  1. Unlikely intersections in Shimura varieties and beyond: a survey

    math.NT 2025-06 accept

    A survey of unlikely intersections in pure Shimura varieties, covering Andre-Oort, Andre-Pink-Zannier, Zilber-Pink, and the Pila-Zannier strategy.

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