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arXiv · 1909.12099

On the birational section conjecture over finitely generated fields

Mohamed Saïdi·Michael Tyler
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Abstract

We investigate the birational section conjecture for curves over function fields of characteristic zero and prove that the conjecture holds over finitely generated fields over Q if it holds over number fields.

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Mohamed Saïdi, Michael Tyler. 2019-09-26. On the birational section conjecture over finitely generated fields. https://doi.org/10.2140/ant.2021.15.435

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