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    • Quasi-parabolic Siegel formula

      Nitin Nitsure

      Volume 106 Issue 2 May 1996 pp 133-137

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/106/02/0133-0137

    • Keywords

       

      Siegel formula; quasi-parabolic divisors; Betti numbers; Weil conjucture

    • Abstract

       

      The result of Siegel that the Tamagawa number ofSLr over a function field is 1 has an expression purely in terms of vector bundles on a curve, which is known as the Siegel formula. We prove an analogous formula for vector bundles with quasi-parabolic structures. This formula can be used to calculate the Betti numbers of the moduli of parabolic vector bundles using the Weil conjuctures

    • Author Affiliations

       

      Nitin Nitsure1

      1. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai - 400 005, India

    • Dates

       
      Published
      May 1996
      Manuscript received
      8 March 1995

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