RATIONAL POINTS ON INTERSECTIONS OF CUBIC AND QUADRIC HYPERSURFACES

DOI10.1017/S1474748014000127zbMath1327.11043arXiv1309.0147OpenAlexW3100614241WikidataQ104052962 ScholiaQ104052962MaRDI QIDQ3192308

Rainer Dietmann, D. R. Heath-Brown, Timothy D. Browning

Publication date: 12 October 2015

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.0147

zbMATH Keywords

circle methodcomplete intersectionrational pointsystemHasse principleDiophantine equationsquadraticcubicWeyl sumvan der Corput method

Mathematics Subject Classification ID

Applications of the Hardy-Littlewood method (11P55) Rational points (14G05) Varieties over global fields (11G35)

Related Items (7)

Rational lines on cubic hypersurfaces ⋮ A Mordell-Weil theorem for cubic hypersurfaces of high dimension ⋮ On the Hasse principle for complete intersections ⋮ Rational points on the intersection of three quadrics ⋮ Forms in many variables and differing degrees ⋮ Representations of integers by systems of three quadratic forms ⋮ The Hasse principle for diagonal forms restricted to lower-degree hypersurfaces

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