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The Lang--Weil Estimate for Cubic Hypersurfaces

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Published:2011-08-31
Printed: Sep 2013
• T. D. Browning,
School of Mathematics, University of Bristol, Bristol BS8 1TW, United Kingdom
 Format: LaTeX MathJax PDF

Abstract

An improved estimate is provided for the number of $\mathbb{F}_q$-rational points on a geometrically irreducible, projective, cubic hypersurface that is not equal to a cone.
 Keywords: cubic hypersurface, rational points, finite fields
 MSC Classifications: 11G25 - Varieties over finite and local fields [See also 14G15, 14G20] 14G15 - Finite ground fields

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