scientific article; zbMATH DE number 1302903
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Publication:4249389
zbMath0943.14009MaRDI QIDQ4249389
Publication date: 5 March 2000
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
modular curvesLang conjecturefinite number of rational pointsrational isogenytopology of rational points
Rational points (14G05) Elliptic curves over global fields (11G05) Elliptic curves (14H52) Modular and Shimura varieties (14G35) Topological properties in algebraic geometry (14F45)
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Diophantine definability and decidability in extensions of degree 2 of totally real fields ⋮ On elliptic Galois representations and genus-zero modular units ⋮ NOTES ON THE DPRM PROPERTY FOR LISTABLE STRUCTURES ⋮ Algebraic curves uniformized by congruence subgroups of triangle groups ⋮ Elliptic curves retaining their rank in finite extensions and Hilbert's Tenth Problem for rings of algebraic numbers ⋮ The work of Barry Mazur ⋮ Diophantine undecidability for some function fields of infinite transcendence degree and positive characteristic ⋮ Extensions of Hilbert’s Tenth Problem: Definability and Decidability in Number Theory ⋮ Rings of algebraic numbers in infinite extensions of \(\mathbb Q\) and elliptic curves retaining their rank ⋮ 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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