• Fulltext

       

        Click here to view fulltext PDF


      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/113/02/0139-0152

    • Keywords

       

      Nonorientable surface; divisor; Jacobian

    • Abstract

       

      Using divisors, an analog of the Jacobian for a compact connected nonorientable Klein surfaceY is constructed. The Jacobian is identified with the dual of the space of all harmonic real one-forms onY quotiented by the torsion-free part of the first integral homology ofY. Denote byX the double cover ofY given by orientation. The Jacobian ofY is identified with the space of all degree zero holomorphic line bundlesL overX with the property thatL is isomorphic to σ*/-L, where σ is the involution ofX.

    • Author Affiliations

       

      Pablo Arés-Gastesi1 Indranil Biswas1

      1. School of Mathematics, Tata Institute of Fundamental Research, Mumbai - 400 005, India
    • Dates

       
  • Proceedings – Mathematical Sciences | News

© 2017-2019 Indian Academy of Sciences, Bengaluru.