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- W2622297435 abstract "The aim of Bogomolov's programme is to prove birational anabelian conjectures for function fields $K|k$ of varieties of dimension $geq 2$ over algebraically closed fields. The present article is concerned with the 1-dimensional case. While it is impossible to recover $K|k$ from its absolute Galois group alone, we prove that it can be recovered from the pair $(mathrm{Aut}(overline{K}|k),mathrm{Aut}(overline{K}|K))$, consisting of the absolute Galois group of $K$ and the larger group of field automorphisms fixing only the base field." @default.
- W2622297435 created "2017-06-15" @default.
- W2622297435 creator A5048038622 @default.
- W2622297435 date "2017-06-06" @default.
- W2622297435 modified "2023-09-24" @default.
- W2622297435 title "A Birational Anabelian Reconstruction Theorem for Curves over Algebraically Closed Fields in Arbitrary Characteristic." @default.
- W2622297435 cites W2169618246 @default.
- W2622297435 hasPublicationYear "2017" @default.
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