Pureté de l’approximation forte sur le corps des fonctions d’une courbe algébrique complexe

Elyes Boughattas

doi:10.1007/s00229-024-01560-4

Pureté de l’approximation forte sur le corps des fonctions d’une courbe algébrique complexe

Elyes Boughattas

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

Over the function field of a complex algebraic curve, strong approximation off a non-empty finite set of places holds for the complement of a codimension 2 closed subset in a homogeneous space under a semisimple algebraic group, and for the complement of a codimension 2 closed subset in an affine smooth complete intersection of low degree.

Original language	English
Pages (from-to)	679-706
Number of pages	28
Journal	Manuscripta Mathematica
Volume	175
Issue number	1-2
Early online date	17 Jun 2024
DOIs	https://doi.org/10.1007/s00229-024-01560-4
Publication status	Published - 30 Sept 2024

Keywords

12G05 (Secondary)
14C05
14G12 (Primary)
14H05
14M10
14M17

ASJC Scopus subject areas

General Mathematics

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10.1007/s00229-024-01560-4Licence: CC BY

Cite this

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N2 - Over the function field of a complex algebraic curve, strong approximation off a non-empty finite set of places holds for the complement of a codimension 2 closed subset in a homogeneous space under a semisimple algebraic group, and for the complement of a codimension 2 closed subset in an affine smooth complete intersection of low degree.

AB - Over the function field of a complex algebraic curve, strong approximation off a non-empty finite set of places holds for the complement of a codimension 2 closed subset in a homogeneous space under a semisimple algebraic group, and for the complement of a codimension 2 closed subset in an affine smooth complete intersection of low degree.

KW - 12G05 (Secondary)

KW - 14C05

KW - 14G12 (Primary)

KW - 14H05

KW - 14M10

KW - 14M17

UR - https://www.scopus.com/pages/publications/85196072644

U2 - 10.1007/s00229-024-01560-4

DO - 10.1007/s00229-024-01560-4

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JO - Manuscripta Mathematica

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ER -

Pureté de l’approximation forte sur le corps des fonctions d’une courbe algébrique complexe

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

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