Line Bundles Over Families of (SUPER) Riemann Surfaces. II: The Graded Case

Abstract

A relative Picard theory in the context of graded manifolds is introduced. A Berezinian calculus and a theory of connections over SUSY-curves are systematically developed, and used to prove a Gauss-Bonnet theorem for line bundles in that setting and to discuss the validity of a flatness theorem

arXiv comment16 pages, AmSTeX. Requires a style with automatic numbering that is available from the first author. Report # 182/1991

References in corpus (1)

• Line Bundles Over Families of (SUPER) Riemann Surfaces. I: The Non-Graded Case

Cited by in corpus (2)

• On the Super Mumford Form in the Presence of Ramond and Neveu-Schwarz Punctures
• Line Bundles Over Families of (SUPER) Riemann Surfaces. I: The Non-Graded Case