Work

On the double tangent of projective closed curves

Year: 2025

Type: article

Abstract: We generalize a previous result by Fabricius–Bjerre [Math. Scand. 11 (1962), no. 2, 113–116] from curves in to curves in . Applied to the case of real algebraic curves, this recovers the signed count of bitangents of quartics introduced by Larson–Vogt [Res. Math. Sci. 8 (2021), no. 26] and proves its positivity, conjectured by Larson–Vogt. Our method is not specific to quartics and applies to algebraic curves of any degree.

Source: Bulletin of the London Mathematical Society

DOI: 10.1112/blms.70061

Author: Thomas Blomme

Institution: University of Neuchâtel

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: Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung