MANY CUBIC SURFACES CONTAIN RATIONAL POINTS

DOI10.1112/S0025579317000195zbMath1388.14069arXiv1701.00525MaRDI QIDQ4604474

Timothy D. Browning

Publication date: 26 February 2018

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.00525

zbMATH Keywords

binary formrational pointselliptic curvecubic surfaceunconditionallocally solvablepositive rankpositive proportion

Mathematics Subject Classification ID

Rational points (14G05) Elliptic curves over global fields (11G05) Varieties over global fields (11G35) Cubic and quartic Diophantine equations (11D25) Global ground fields in algebraic geometry (14G25)

Related Items (4)

The average size of the 3‐isogeny Selmer groups of elliptic curves y2=x3+k ⋮ GOLDFELD’S CONJECTURE AND CONGRUENCES BETWEEN HEEGNER POINTS ⋮ How to calculate the proportion of everywhere locally soluble diagonal hypersurfaces ⋮ On the proportion of locally soluble superelliptic curves

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