Rational points on cubic hypersurfaces over Fq(t)

Tim D Browning; Pankaj Vishe

doi:10.1007/s00039-015-0328-5

Rational points on cubic hypersurfaces over F_q(t)

Tim D Browning
, Pankaj Vishe

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

18 Citations (Scopus)

294 Downloads (Pure)

Abstract

The Hasse principle and weak approximation is established for non-singular cubic hypersurfaces X over the function field F_q(t), provided that char (F_q)>3 and X has dimension at least 6.

Original language	English
Pages (from-to)	671-732
Number of pages	62
Journal	Geometric and Functional Analysis
Volume	25
Issue number	3
DOIs	https://doi.org/10.1007/s00039-015-0328-5
Publication status	Published - 11 Jun 2015

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10.1007/s00039-015-0328-5

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Cite this

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title = "Rational points on cubic hypersurfaces over Fq(t)",

abstract = "The Hasse principle and weak approximation is established for non-singular cubic hypersurfaces X over the function field Fq(t), provided that char (Fq)>3 and X has dimension at least 6.",

author = "Browning, \{Tim D\} and Pankaj Vishe",

year = "2015",

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T1 - Rational points on cubic hypersurfaces over Fq(t)

AU - Browning, Tim D

AU - Vishe, Pankaj

PY - 2015/6/11

Y1 - 2015/6/11

N2 - The Hasse principle and weak approximation is established for non-singular cubic hypersurfaces X over the function field Fq(t), provided that char (Fq)>3 and X has dimension at least 6.

AB - The Hasse principle and weak approximation is established for non-singular cubic hypersurfaces X over the function field Fq(t), provided that char (Fq)>3 and X has dimension at least 6.

U2 - 10.1007/s00039-015-0328-5

DO - 10.1007/s00039-015-0328-5

M3 - Article (Academic Journal)

SN - 1016-443X

VL - 25

SP - 671

EP - 732

JO - Geometric and Functional Analysis

JF - Geometric and Functional Analysis

IS - 3

ER -