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arXiv · 1005.1984

Une remarque sur les courbes de Reichardt-Lind et de Schinzel

Olivier Wittenberg
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Abstract

We prove that the arithmetic fundamental group of X admits no section over the absolute Galois group of Q when X is the Schinzel curve, thereby confirming in this example the prediction given by Grothendieck's section conjecture. ----- Nous démontrons que le groupe fondamental arithmétique de X n'admet pas de section au-dessus du groupe de Galois absolu de Q lorsque X est la courbe de Schinzel, confirmant ainsi sur cet exemple la prédiction donnée par la conjecture des sections de Grothendieck.

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Olivier Wittenberg. 2010-05-12. Une remarque sur les courbes de Reichardt-Lind et de Schinzel. https://doi.org/10.1007/978-3-642-23905-2_13

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