Supermoduli Space with Ramond punctures is not projected

TL;DR

This paper proves that the supermoduli space with Ramond punctures is not projected for all genera g greater than or equal to 5r+1, indicating a fundamental geometric property.

Contribution

It establishes the non-projectedness of the supermoduli space with Ramond punctures for all sufficiently large genus g.

Findings

Supermoduli space with Ramond punctures is not projected for g ≥ 5r+1

The result applies to all g ≥ 6 when r ≥ 1

Provides insight into the geometric structure of supermoduli spaces

Abstract

The supermoduli space $\frak{M}_{g,0,2r}$ is not projected for all $g \ge 5r +1 \ge 6$.