Families of 0-dimensional submanifolds on supercurves

Abstract

In the present paper we prove that the Hilbert scheme of 0-dimensional subspaces on supercurves of dimension $(1|1)$ exists and it is smooth. We show that the Hilbert scheme is not split in general.

References in corpus (3)

• Construction of Hilbert and Quot Schemes
• The Super Period Matrix With Ramond Punctures
• Pluri-Canonical Models of Supersymmetric Curves