THE DENSITY OF ALGEBRAIC POINTS ON CERTAIN PFAFFIAN SURFACES

DOI10.1093/qmath/har011zbMath1253.03065OpenAlexW2000137497MaRDI QIDQ2907039

Gareth O. Jones, Margaret E. M. Thomas

Publication date: 5 September 2012

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://eprints.maths.manchester.ac.uk/1644/1/JonesThomasQJM.pdf

Mathematics Subject Classification ID

Arithmetic algebraic geometry (Diophantine geometry) (11G99) Model theory of ordered structures; o-minimality (03C64)

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Rational values of transcendental functions and arithmetic dynamics ⋮ Wilkie's conjecture for restricted elementary functions ⋮ Point counting and Wilkie's conjecture for non-Archimedean Pfaffian and Noetherian functions ⋮ A Diophantine approach to the three and four exponentials conjectures ⋮ The Pila–Wilkie theorem for subanalytic families: a complex analytic approach ⋮ Zeroes and rational points of analytic functions ⋮ LOCAL INTERDEFINABILITY OF WEIERSTRASS ELLIPTIC FUNCTIONS ⋮ Rational Values of Weierstrass Zeta Functions ⋮ Pfaffian definitions of Weierstrass elliptic functions ⋮ Density of algebraic points on Noetherian varieties ⋮ Effective Pila-Wilkie bounds for unrestricted Pfaffian surfaces ⋮ Smooth parametrizations in dynamics, analysis, diophantine and computational geometry ⋮ Ill-distributed sets over global fields and exceptional sets in diophantine geometry ⋮ Integer-valued definable functions in ℝan,exp ⋮ Complex cellular structures ⋮ Counting rational points and lower bounds for Galois orbits

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