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- W3021833926 abstract "Abstract This paper explores undecidability in theories of positive characteristic function fields in the “geometric” language of rings L F = {0, 1,+, ·, F} , with a unary predicate F for nonconstant elements. We indicate how to generalise existing machinery to prove the undecidability of the ∀ 1 ∃ + -L F theory (without parameters) of any function field of a curve over an algebraic extension of F p , not algebraically closed. We discuss the problem (and its geometric implications) further in this context too. MSC Classification: 03B25 , 12L05" @default.
- W3021833926 created "2020-05-13" @default.
- W3021833926 creator A5090231529 @default.
- W3021833926 date "2022-12-27" @default.
- W3021833926 modified "2023-09-27" @default.
- W3021833926 title "A Note on Hilbert's ``Geometric'' Tenth Problem" @default.
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- W3021833926 doi "https://doi.org/10.21203/rs.3.rs-2393742/v1" @default.
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