Rational self-maps of moduli spaces

TL;DR

This paper explores specific rational self-maps of moduli spaces of low genus curves and forms, highlighting their geometric significance and providing insights into their structure.

Contribution

It introduces new examples of rational self-maps of moduli spaces that are geometrically meaningful, expanding understanding of their properties.

Findings

Identification of explicit rational self-maps for low genus moduli spaces

Demonstration of geometric significance of these maps

Insights into the structure of moduli spaces through these maps

Abstract

We discuss some examples of geometrically meaningful rational self-maps of moduli space of curves of low genus and homogeneous forms.