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The Lang–Weil Estimate for Cubic Hypersurfaces

Published online by Cambridge University Press:  20 November 2018

T. D. Browning
T. D. Browning*
Affiliation:
School of Mathematics, University of Bristol, Bristol BS8 1TW, United Kingdom e-mail: t.d.browning@bristol.ac.uk
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Abstract

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An improved estimate is provided for the number of ${{\text{F}}_{q}}$-rational points on a geometrically irreducible, projective, cubic hypersurface that is not equal to a cone.

Keywords

11G2514G15cubic hypersurfacerational pointsfinite fields
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 56 , Issue 3 , 01 September 2013 , pp. 500 - 502
Copyright
Copyright © Canadian Mathematical Society 2013

References

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