vix.ing · top · new · best · stats · spec

Rank two free groups and integer points on real cubic surfaces

2020/03/12 by Greg McShane, McShane, Greg
Mathematics · #Advanced Combinatorial Mathematics #Differential Geometry (math.DG) #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.2003.05967

openalex publication_date 2020/03/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Counting integer points on the Markoff cubic is closely related to questions in hyperbolic geometry. In a previous work with Igor Rivin we investigated the regularity of the geodesic length function for a punctured torus. Here we extend this work to the three holed sphere and related orbifolds.

Related