The Variety of Positive Superdivisors of a Supercurve (Supervortices)
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 i...
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Zusammenfassung: | 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. |
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DOI: | 10.48550/arxiv.alg-geom/9303007 |