Year: 2023
Type: preprint
Abstract: We prove that for every smooth projective integral curve $X$ of genus at least $2$ over $\mathbb C$, there exists $x \in X(\mathbb C)$ such that no connected finite étale cover of $X-\{x\}$ admits a nonconstant morphism to $\mathbb G_m$. This has implications for the applicability of Baker's method to determining integral points on curves.
Source: arXiv (Cornell University)
Authors: Landesman, Aaron, Poonen, Bjorn
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Funder: National Science Foundation
OpenAlex ID: W4381712699