TL;DR
This paper explores totally real theta characteristics of real curves, linking their properties to the facets of the convex hull of the curve's canonical embedding, revealing geometric and algebraic connections.
Contribution
It introduces the concept of totally real theta characteristics and relates them to the convex hull facets of the canonical embedding of real curves.
Findings
Characterization of totally real theta characteristics.
Connection between theta characteristics and convex hull facets.
Insights into the geometry of real algebraic curves.
Abstract
A totally real theta characteristic of a real curve is a theta characteristic which is linearly equivalent to a sum of only real points. These are closely related to the facets of the convex hull of the canonical embedding of the curve.
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