A Mordell-Weil theorem for cubic hypersurfaces of high dimension

DOI10.2140/ant.2017.11.1953zbMath1387.14069arXiv1605.02787OpenAlexW2379685734MaRDI QIDQ1677812

Stefanos Papanikolopoulos, Samir Siksek

Publication date: 13 November 2017

Published in: Algebra \& Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.02787

zbMATH Keywords

finitegenerating setcubic hypersurfacelarge dimensionMordell-WeilSecant and Tangent

Mathematics Subject Classification ID

Forms of degree higher than two (11E76) Applications of the Hardy-Littlewood method (11P55) Rational points (14G05) Varieties over global fields (11G35)

Related Items (1)

Rational lines on cubic hypersurfaces

Cites Work

• On the number of Mordell-Weil generators for cubic surfaces
• On second fundamental forms of projective varieties
• Combinatorial cubic surfaces and reconstruction theorems
• RATIONAL POINTS ON INTERSECTIONS OF CUBIC AND QUADRIC HYPERSURFACES
• Rational Curves on Smooth Cubic Hypersurfaces
• A Note on Arithmetical Properties of Cubic Surfaces
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