Balanced presentations for fundamental groups of curves over finite fields

Mark Shusterman

doi:10.4310/MRL.2022.V29.N4.A13

Balanced presentations for fundamental groups of curves over finite fields

Mark Shusterman^*

^*Corresponding author for this work

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

Abstract

We show that the algebraic fundamental group of a smooth projective curve over a finite field admits a finite topological presentation where the number of relations does not exceed the number of generators.

Original language	English
Pages (from-to)	1251-1259
Number of pages	9
Journal	Mathematical Research Letters
Volume	29
Issue number	4
DOIs	https://doi.org/10.4310/MRL.2022.V29.N4.A13
State	Published - 2022
Externally published	Yes

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10.4310/MRL.2022.V29.N4.A13

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title = "Balanced presentations for fundamental groups of curves over finite fields",

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Balanced presentations for fundamental groups of curves over finite fields

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