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

Abstract

A first step towards a systematic theory of relative line bundles over SUSY-curves is presented. In this paper we deal with the case of relative line bundles over families of ordinary Riemann surfaces. Generalizations of the Gauss-Bonnet theorem and of the flatness theorem for line bundles are discussed.

arXiv comment16 pages, AmSTeX. Requires a style with automatic numbering that is available from the first author

References in corpus (1)

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

Cited by in corpus (3)

• On the Super Mumford Form in the Presence of Ramond and Neveu-Schwarz Punctures
• Line Bundles Over Families of (SUPER) Riemann Surfaces. II: The Graded Case
• The Variety of Positive Superdivisors of a Supercurve (Supervortices)