Work

Graphs of trigonal curves and rigid isotopies of singular real algebraic curves of bidegree (4, 3) on a hyperboloid

Year: 2025

Type: article

Abstract: A rigid isotopy of real algebraic curves of a certain class is a path in the space of curves of this class. Our study completes the rigid isotopic classiﬁcation of nonsingular real algebraic curves of bidegree (4,3) on a hyperboloid, started by the author in his earlier works. Missing proofs of the uniqueness of the connected components for 16 classes of real algebraic curves of bidegree (4,3) having a single node or a cusp are given. The main technical tools are graphs of real trigonal curves on Hirzebruch surfaces.

Source: Mathematics and Theoretical Computer Science

DOI: 10.26907/2949-3919.2025.1.26-51

Author: V. I. Zvonilov

Institution: N. I. Lobachevsky State University of Nizhny Novgorod

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W4410017940

FWCI: 1.802

Cites: 9

Cited by: 1

Related to: 10