Undecidability in Function Fields of Positive Characteristic
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Publication:3643307
DOI10.1093/imrn/rnp079zbMath1242.11100arXiv0709.1739OpenAlexW2963818566MaRDI QIDQ3643307
Kirsten Eisenträger, Alexandra Shlapentokh
Publication date: 11 November 2009
Published in: International Mathematics Research Notices (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0709.1739
Decidability (number-theoretic aspects) (11U05) Elliptic curves over global fields (11G05) Undecidability and degrees of sets of sentences (03D35) Decidability of theories and sets of sentences (03B25)
Related Items (5)
Hilbert's tenth problem over function fields of positive characteristic not containing the algebraic closure of a finite field ⋮ On a question of Abraham Robinson ⋮ As easy as $\mathbb {Q}$: Hilbert’s Tenth Problem for subrings of the rationals and number fields ⋮ Uniform existential interpretation of arithmetic in rings of functions of positive characteristic ⋮ Definability of Frobenius orbits and a result on rational distance sets
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