Line Bundles Over Families of (SUPER) Riemann Surfaces. I: The Non-Graded Case
U. Bruzzo, J. A. Dominguez Perez
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.
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