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Geometry of Dual Pairs of Complex Supercurves

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Part of the Lecture Notes in Mathematics book series (LNM,volume 2027)

Abstract

Supercurves are a generalization to supergeometry of Riemann surfaces or algebraic curves. I review the definitions, examples, key results, and open problems in this area.

Keywords

  • Modulus Space
  • Riemann Surface
  • Line Bundle
  • Transition Function
  • Theta Function

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Acknowledgements

My thanks to those who have worked with me on the subject of supercurves over the years, notably Maarten Bergvelt, Louis Crane, Fausto Ongay, and Mitchell Rothstein.

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Correspondence to Jeffrey M. Rabin .

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Rabin, J.M. (2011). Geometry of Dual Pairs of Complex Supercurves. In: Ferrara, S., Fioresi, R., Varadarajan, V. (eds) Supersymmetry in Mathematics and Physics. Lecture Notes in Mathematics(), vol 2027. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21744-9_11

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