%0 Journal Article %T Line Bundles Over Families of (SUPER) Riemann Surfaces. I: The Non-Graded Case %A U. Bruzzo %A J. A. Dominguez Perez %J Physics %D 1992 %I arXiv %R 10.1016/0393-0440(93)90018-A %X 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. %U http://arxiv.org/abs/hep-th/9211005v1