Pluri-Canonical Models of Supersymmetric Curves

Abstract

This paper is about pluri-canonical models of supersymmetric (susy) curves. Susy curves are generalisations of Riemann surfaces in the realm of super geometry. Their moduli space is a key object in supersymmetric string theory. We study the pluri-canonical models of a susy curve, and we make some considerations about Hilbert schemes and moduli spaces of susy curves.

To appear in the proceedings of the intensive period "Perspectives in Lie Algebras", held at the CRM Ennio De Giorgi, Pisa, Italy, 2014

References in corpus (2)

• Serre Duality, Abel's Theorem, and Jacobi Inversion for Supercurves Over a Thick Superpoint
• The geometry of $\Pi$-invertible sheaves

Cited by in corpus (1)

• Families of 0-dimensional submanifolds on supercurves