An Invitation to the Local Structures of Moduli of Genus one stable maps

TL;DR

This paper introduces elementary examples to illustrate the local structure of the moduli space of genus one stable maps to projective space, aiming to aid graduate students in understanding this complex subject.

Contribution

It provides accessible examples to motivate and clarify the local structural results of the moduli space of genus one stable maps.

Findings

Examples illustrating local structures of moduli space

Educational approach for graduate students

Clarification of complex geometric concepts

Abstract

This informal note provides some elementary examples to motivate the local structural results of [1] on the moduli space of genus one stable maps to projective space. The hope is that these examples will be helpful for graduate students to learn this important subject.