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On the birational section conjecture over finitely generated fields
Algebra & Number Theory  (IF0.938),  Pub Date : 2021-04-07, DOI: 10.2140/ant.2021.15.435
Mohamed Saïdi, Michael Tyler

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.