Endomorphisms of elliptic curves and undecidability in function fields of positive characteristic.

DOI10.1016/j.jalgebra.2003.07.016zbMath1035.11064OpenAlexW2050646345MaRDI QIDQ1427400

Thanases Pheidas

Publication date: 14 March 2004

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2003.07.016

zbMATH Keywords

elliptic curvesdecidabilityrational function fields

Mathematics Subject Classification ID

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

Related Items (2)

Decidability questions for a ring of Laurent polynomials ⋮ Diophantine undecidability of holomorphy rings of function fields of characteristic 0

Cites Work

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• Hilbert's tenth problem for fields of rational functions over finite fields
• Diophantine undecidability of \({\mathbb{C}{}}(t_ 1,t_ 2)\)
• Diophantine unsolvability for function fields over certain infinite fields of characteristic \(p\)
• Sur la théorie élémentaire des corps de fonctions
• Undecidability and Definability for the Theory of Global Fields
• Hilbert's Tenth Problem for Rings of Algebraic Functions in One Variable Over Fields of Constants of Positive Characteristic
• Hilbert's Tenth Problem for Quadratic Rings
• The Diophantine Problem for Polynomial Rings and Fields of Rational Functions
• Hilbert's Tenth Problem for Rational Function Fields in Characteristic 2
• Indécidabilité des corps de courbe réelle
• Extensions of Hilbert's tenth problem
• Undecidable Rings
• The existential theory of real hyperelliptic function fields

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