The section conjecture over large algebraic extensions of finitely generated fields

Moshe Jarden; Sebastian Petersen

doi:10.1002/mana.201900538

The section conjecture over large algebraic extensions of finitely generated fields

Moshe Jarden^*, Sebastian Petersen

^*Corresponding author for this work

School of Mathematical Sciences

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

Abstract

Let K be a finitely generated extension of its prime field and let (Formula presented.) be an integer. We prove the injectivity part of the section conjecture of Grothendieck for almost all (Formula presented.) and for all smooth geometrically integral projective curves of genus ≥1 over the field (Formula presented.).

Original language	English
Pages (from-to)	890-911
Number of pages	22
Journal	Mathematische Nachrichten
Volume	295
Issue number	5
DOIs	https://doi.org/10.1002/mana.201900538
State	Published - May 2022

Keywords

PAC fields
abelian varieties
section conjecture

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10.1002/mana.201900538

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abstract = "Let K be a finitely generated extension of its prime field and let (Formula presented.) be an integer. We prove the injectivity part of the section conjecture of Grothendieck for almost all (Formula presented.) and for all smooth geometrically integral projective curves of genus ≥1 over the field (Formula presented.).",

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AB - Let K be a finitely generated extension of its prime field and let (Formula presented.) be an integer. We prove the injectivity part of the section conjecture of Grothendieck for almost all (Formula presented.) and for all smooth geometrically integral projective curves of genus ≥1 over the field (Formula presented.).

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KW - abelian varieties

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The section conjecture over large algebraic extensions of finitely generated fields

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Keywords

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