CMS/SMC
Canadian Mathematical Society
www.cms.math.ca
Canadian Mathematical Society
  location:  PublicationsjournalsCMB
Publications        
Abstract view

The Lang--Weil Estimate for Cubic Hypersurfaces

  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 cubic hypersurface, rational points, finite fields
MSC Classifications: 11G25, 14G15 show english descriptions Varieties over finite and local fields [See also 14G15, 14G20]
Finite ground fields
11G25 - Varieties over finite and local fields [See also 14G15, 14G20]
14G15 - Finite ground fields
 

© Canadian Mathematical Society, 2014 : https://cms.math.ca/