A note on the Manin-Mumford conjecture
Roessler, Damian
HAL, hal-00125542 / Harvested from HAL
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 The proof given in [PR1] uses a difficult unpublished ramification-theoretic result of Serre.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.
Publié le : 2004-07-05
Classification:  [MATH.MATH-NT]Mathematics [math]/Number Theory [math.NT],  [MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG]
@article{hal-00125542,
     author = {Roessler, Damian},
     title = {A note on the Manin-Mumford conjecture},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00125542}
}
Roessler, Damian. A note on the Manin-Mumford conjecture. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00125542/