Exponential sums and rational points on complete intersections

DOI10.1112/S0025579300012912zbMath0719.11086WikidataQ104117133 ScholiaQ104117133MaRDI QIDQ5750971

Alexei N. Skorobogatov, Igor E. Shparlinski

Publication date: 1990

Published in: Mathematika (Search for Journal in Brave)

zbMATH Keywords

exponential sumsdensity of rational pointssimultaneous equationssimultaneous congruencescohomology of complete intersectionssmooth projective variety

Mathematics Subject Classification ID

Exponential sums (11T23) Congruences in many variables (11D79) Varieties over global fields (11G35) Diophantine equations in many variables (11D72) Varieties over finite and local fields (11G25)

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Cites Work

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• Transformation de Fourier et majoration de sommes exponentielles. (Fourier transformation and majoration of exponential sums.)
• Rational points of bounded height on Fano varieties
• On the number of rational points of bounded height on algebraic varieties
• La conjecture de Weil. II
• La conjecture de Weil. I
• The density of integer points on homogeneous varieties