The supermoduli of SUSY curves with Ramond punctures

Abstract

We construct local and global moduli spaces of supersymmetric curves with Ramond-Ramond punctures. We assume that the underlying ordinary algebraic curves have a level n structure and build these supermoduli spaces as algebraic superspaces, i.e., quotients of étale equivalence relations between superschemes.

arXiv comment34 pages. v2: corrected a minor inconsequential mistake in a proof. v3: 35 pages. Minor changes and additions after the referee's suggestions. To appear in Rev. Real Acad. Ciencias Exactas Fis. Nat. Ser. A. Mat