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    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/127/04/0615-0624

    • Keywords

       

      $M$-curve; symmetric product; real locus

    • Abstract

       

      Let $(X , \sigma)$ be a geometrically irreducible smooth projective $M$-curve of genus $g$ defined over the field of real numbers.We prove that the $n$-th symmetric product of $(X , \sigma)$ is an $M$-variety for $n$ = 2 ,3 and $n \geq 2g − 1$.

    • Author Affiliations

       

      INDRANIL BISWAS1 SHANE D’MELLO2

      1. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400 005, India
      2. Department of Mathematics, Indian Institute of Science Education and Research, Dr. Homi Bhabha Road, Pune 411 008, India

    • Dates

       
      Published
      1 September 2017
      Manuscript received
      8 May 2015
      Manuscript revised
      24 February 2016
      Accepted
      1 March 2016
      Early published
      Unedited version published online
      Final version published online
      3 August 2017

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