Work

Wild conductor exponents of curves

Year: 2026

Type: article

Abstract: We give an explicit formula for wild conductor exponents of plane curves over in terms of standard invariants of explicit extensions of , generalising a formula for hyperelliptic curves. To do so, we prove a general result relating the wild conductor exponent of a simply branched cover of the projective line with its associated discriminant cover. In an Appendix, we resolve a minor issue in the literature on the 3‐torsion of genus 2 curves.

Source: Bulletin of the London Mathematical Society

DOI: 10.1112/blms.70361

Author: Harry Spencer

Institution: University College London

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,930

Funder: Engineering and Physical Sciences Research Council