Work

The density of ADE families of curves having squarefree discriminant

Year: 2025

Type: article

Abstract: We determine the density of curves having squarefree discriminant in some families of curves that arise from Vinberg representations, showing that the global density is the product of the local densities. We do so using the framework of Thorne and Laga’s PhD theses and Bhargava’s orbit -counting techniques. This paper generalises a previous result by Bhargava, Shankar and Wang.

Source: Journal de Théorie des Nombres de Bordeaux

DOI: 10.5802/jtnb.1349

Author: Martí Oller

Institution: University of Cambridge

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: Cambridge Trust, Fundación Bancaria Caixa d'Estalvis i Pensions de Barcelona

Awards: G5132640529, G7685134749