Rationality of the moduli spaces of plane curves of sufficiently large degree

TL;DR

This paper proves that the moduli space of plane curves becomes rational when the degree is sufficiently large, providing new insights into the geometric structure of these spaces.

Contribution

It establishes the rationality of moduli spaces of plane curves for large degrees, a significant advancement in algebraic geometry.

Findings

Moduli space of plane curves is rational for large d

Provides a threshold degree beyond which rationality holds

Enhances understanding of geometric properties of plane curves

Abstract

We prove that the moduli space of plane curves of degree d is rational for all sufficiently large d.