We study the supermoduli space M₆, ₍, ₂ₑ of Super Riemann Surfaces (SRS) of genus g, with n Neveu-Schwarz punctures and 2r Ramond punctures. We improve the result of Donagi, Witten, and Ott by showing that the supermoduli space M₆, ₍, ₂ₑ is not projected if g n+5r+3.
Tianyi Wang (Fri,) studied this question.