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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 if it holds over number fields.