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2020 Arithmetic of curves on moduli of local systems
Junho Peter Whang
Algebra Number Theory 14(10): 2575-2605 (2020). DOI: 10.2140/ant.2020.14.2575

Abstract

We investigate the arithmetic of algebraic curves on coarse moduli spaces for special linear rank two local systems on surfaces with fixed boundary traces. We prove a structure theorem for morphisms from the affine line into the moduli space. We show that the set of integral points on any nondegenerate algebraic curve on the moduli space can be effectively determined.

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Junho Peter Whang. "Arithmetic of curves on moduli of local systems." Algebra Number Theory 14 (10) 2575 - 2605, 2020. https://doi.org/10.2140/ant.2020.14.2575

Information

Received: 29 June 2018; Revised: 20 July 2020; Accepted: 21 August 2020; Published: 2020
First available in Project Euclid: 22 December 2020

MathSciNet: MR4190412
Digital Object Identifier: 10.2140/ant.2020.14.2575

Subjects:
Primary: 11G30
Secondary: 11G35, 57M50

Rights: Copyright © 2020 Mathematical Sciences Publishers

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Vol.14 • No. 10 • 2020
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