# Sufficient conditions for the surjectivity of radical curve parametrizations

## TL;DR

This paper introduces the concept of surjective radical parametrizations and establishes sufficient conditions under which a radical curve parametrization is surjective, advancing understanding in algebraic geometry.

## Contribution

It provides the first set of sufficient conditions guaranteeing surjectivity of radical curve parametrizations, filling a gap in algebraic geometry theory.

## Key findings

- Established sufficient conditions for surjectivity
- Defined the notion of surjective radical parametrization
- Enhanced understanding of radical curve parametrizations

## Abstract

In this paper, we introduce the notion of surjective radical parametrization and we prove sufficient conditions for a radical curve parametrization to be surjective.