Abstract
Supercurves are a generalization to supergeometry of Riemann surfaces or algebraic curves. They naturally appear in pairs related by a duality. The super Riemann surfaces appearinga s worldsheets in perturbative superstringth eory are precisely the self-dual supercurves. I will review known results and open problems in the geometry of supercurves, with a focus on Abel’s Theorem.
Mathematics Subject Classification (2010). 14M30, 32C11.
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Rabin, J.M. (2013). Duality and the Abel Map for Complex Supercurves. In: Kielanowski, P., Ali, S., Odzijewicz, A., Schlichenmaier, M., Voronov, T. (eds) Geometric Methods in Physics. Trends in Mathematics. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0448-6_8
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