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A note on the Manin-Mumford conjecture | | Damian Roessler
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6 Sep 2004 | | Subject: | Number Theory; Algebraic Geometry MSC-class: 14G05 | math.NT math.AG | | Abstract: | In the article [PR1] {it On Hrushovski’s proof of the Manin-Mumford conjecture} (Proceedings of the ICM 2002), R. Pink and the author gave a short proof of the Manin-Mumford conjecture, which was inspired by an earlier model-theoretic proof by Hrushovski. The proof given in [PR1] uses a difficult unpublished ramification-theoretic result of Serre. It is the purpose of this note to show how the proof given in [PR1] can be modified so as to circumvent the reference to Serre’s result. J. Oesterlé and R. Pink contributed several simplifications and shortcuts to this note. | | Source: | arXiv, math.NT/0409083 | | Services: | Forum | Review | PDF | Favorites | |
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