Work

On sparsity of integral points in orbits and correspondences with big iterated pullbacks

Year: 2025

Type: preprint

Abstract: We prove new unconditional results of sparsity of integral points on orbits under many maps and correspondences in arbitrary dimensions, generalizing theorems of Yasufuku(2015) and others. The main ingredients are new diophantine approximation tools and recent constructions for correspondences due to Ingram (2011).

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2501.04642

Author: Mello, Jorge

Institution: Oakland University

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4406231640

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