%0 Journal Article
%T The Variety of Positive Superdivisors of a Supercurve (Supervortices)
%A J. A. Dominguez Perez
%A D. Hernandez Ruiperez
%A C. Sancho de Salas
%J Mathematics
%D 1993
%I arXiv
%X The supersymmetric product of a supercurve is constructed with the aid of a theorem of algebraic invariants and the notion of positive relative superdivisor (supervortex) is introduced. A supercurve of positive superdivisors of degree 1 (supervortices of vortex number 1) of the original supercurve is constructed as its supercurve of conjugate fermions, as well as the supervariety of relative positive superdivisors of degre p (supervortices of vortex number p.) A universal superdivisor is defined and it is proved that every positive relative superdivisor can be obtained in a unique way as a pull-back of the universal superdivisor. The case of SUSY-curves is discussed.
%U http://arxiv.org/abs/alg-geom/9303007v1