The Lang-Weil Estimate for Cubic Hypersurfaces

T. D. Browning

doi:10.4153/CMB-2011-177-4

The Lang-Weil Estimate for Cubic Hypersurfaces

T. D. Browning^*

^*Corresponding author for this work

Research output: Contribution to journal › Article (Academic Journal) › peer-review

2 Citations (Scopus)

Abstract

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

Original language	English
Pages (from-to)	500-502
Number of pages	3
Journal	Canadian Mathematical Bulletin
Volume	56
Issue number	3
DOIs	https://doi.org/10.4153/CMB-2011-177-4
Publication status	Published - Sept 2013

Keywords

cubic hypersurface
rational points
finite fields
EXPONENTIAL SUMS
FINITE-FIELD
SURFACES

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10.4153/CMB-2011-177-4

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DIOPHANTINE GEOMETRY VIA ANALYTIC NUMBER THEORY
Browning, T. D. (Principal Investigator)
1/09/07 → 1/04/13
Project: Research

Cite this

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title = "The Lang-Weil Estimate for Cubic Hypersurfaces",

abstract = "An improved estimate is provided for the number of 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, EXPONENTIAL SUMS, FINITE-FIELD, SURFACES",

author = "Browning, {T. D.}",

year = "2013",

month = sep,

doi = "10.4153/CMB-2011-177-4",

language = "English",

volume = "56",

pages = "500--502",

journal = "Canadian Mathematical Bulletin",

issn = "0008-4395",

publisher = "Canadian Mathematical Society",

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AU - Browning, T. D.

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N2 - An improved estimate is provided for the number of F-q-rational points on a geometrically irreducible, projective, cubic hypersurface that is not equal to a cone.

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

KW - cubic hypersurface

KW - rational points

KW - finite fields

KW - EXPONENTIAL SUMS

KW - FINITE-FIELD

KW - SURFACES

U2 - 10.4153/CMB-2011-177-4

DO - 10.4153/CMB-2011-177-4

M3 - Article (Academic Journal)

SN - 0008-4395

VL - 56

SP - 500

EP - 502

JO - Canadian Mathematical Bulletin

JF - Canadian Mathematical Bulletin

IS - 3

ER -

The Lang-Weil Estimate for Cubic Hypersurfaces

Abstract

Keywords

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DIOPHANTINE GEOMETRY VIA ANALYTIC NUMBER THEORY

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