Choreography of divisors on algebraic curves

TL;DR

This paper investigates the topological constraints on how simple real divisors on non-singular real algebraic curves can move within their linear equivalence class, revealing new insights into their choreography.

Contribution

It introduces topological restrictions on the motion of divisors on algebraic curves, advancing understanding of divisor dynamics in real algebraic geometry.

Findings

Topological restrictions on divisor motion identified

Constraints depend on the curve's real structure

New insights into divisor choreography on algebraic curves

Abstract

For a non-singular real algebraic projective curve, topological restrictions on a closed motion of a simple real divisor in its linear equivalence class are found.