Abstract
We prove that the arithmetic fundamental group of X admits no section over the absolute Galois group of \(\mathbb{Q}\) when X is the Schinzel curve, thereby confirming in this example the prediction given by Grothendieck’s section conjecture.
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Wittenberg, O. (2012). Une remarque sur les courbes de Reichardt–Lind et de Schinzel. In: Stix, J. (eds) The Arithmetic of Fundamental Groups. Contributions in Mathematical and Computational Sciences, vol 2. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23905-2_13
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DOI: https://doi.org/10.1007/978-3-642-23905-2_13
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