The existential theory of real hyperelliptic function fields

zbMath0985.11062MaRDI QIDQ5925793

Zahidi, Karim

Publication date: 23 May 2002

Published in: Journal of Algebra (Search for Journal in Brave)

zbMATH Keywords

analogue of Hilbert's tenth problemhyperelliptic curvereal hyperelliptic function fieldsundecidability

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Decidability (number-theoretic aspects) (11U05) Decidability and field theory (12L05)

Related Items (5)

An analogue of Hilbert's 10th problem for fields of meromorphic functions over non-Archimedean valued fields ⋮ Endomorphisms of elliptic curves and undecidability in function fields of positive characteristic. ⋮ Diophantine undecidability for some function fields of infinite transcendence degree and positive characteristic ⋮ Diophantine undecidability of holomorphy rings of function fields of characteristic 0 ⋮ First-order definitions of rational functions and \({\mathcal S}\)-integers over holomorphy rings of algebraic functions of characteristic 0

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