Defining integrality at prime sets of high density over function fields

DOI10.1007/S006050200005zbMath1014.11077OpenAlexW1990640726MaRDI QIDQ1599512

Alexandra Shlapentokh

Publication date: 10 June 2002

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s006050200005

zbMATH Keywords

function fieldDiophantine definition\(F\)-primesMazur's question

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Decidability (number-theoretic aspects) (11U05) Diophantine equations in many variables (11D72) Model theory (number-theoretic aspects) (11U09)

Related Items (2)

Rational separability of the integral closure ⋮ First-order definitions of rational functions and \({\mathcal S}\)-integers over holomorphy rings of algebraic functions of characteristic 0

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