Rational lines on cubic hypersurfaces

DOI10.1017/S0305004120000079zbMath1505.11063arXiv1809.08041MaRDI QIDQ4958633

Rainer Dietmann, Julia Brandes

Publication date: 14 September 2021

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.08041

zbMATH Keywords

algebraic geometrycubic hypersurfacesrational lines

Mathematics Subject Classification ID

Forms of degree higher than two (11E76) Rational points (14G05) Diophantine equations in many variables (11D72) Hypersurfaces and algebraic geometry (14J70) (p)-adic and power series fields (11D88)

Related Items (2)

Probabilistic enumerative geometry over \(p\)-adic numbers: linear spaces on complete intersections ⋮ The density of rational lines on hypersurfaces: a bihomogeneous perspective

Cites Work

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• Diophantine equations in the primes
• Integral points on quadrics with prime coordinates
• A Birch-Goldbach theorem
• A Mordell-Weil theorem for cubic hypersurfaces of high dimension
• On the Waring-Goldbach problem for seventh and higher powers
• Cubic homogeneous polynomials over \(\mathfrak p\)-adic number fields
• Simultaneous zeros of a cubic and quadratic form
• RATIONAL POINTS ON INTERSECTIONS OF CUBIC AND QUADRIC HYPERSURFACES
• Homogeneous forms of odd degree in a large number of variables
• Systems of cubic forms
• Cubic Forms in Ten Variables
• An explicit version of Birch's Theorem
• Linear Spaces on Cubic Hypersurfaces, and Pairs of Homogeneous Cubic Equations
• Pairs of cubic forms in many variables
• Lines on Cubic Hypersurfaces Over Finite Fields
• A note on p -adic solubility for forms in many variables

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