A characterization of the rational normal curve

TL;DR

This paper characterizes the rational normal curve using a rank function associated with the curve, providing a new perspective on its geometric properties.

Contribution

It introduces a novel characterization of the rational normal curve based on the rank function, enhancing understanding of its structure.

Findings

Provides a new rank-based characterization of the rational normal curve

Establishes connections between rank functions and geometric properties

Offers insights that could influence future research in algebraic geometry

Abstract

We give a characterization of the rational normal curve in terms of the rank function associated to a curve.