Canonical measures on the moduli spaces of compact Riemann surfaces

  • Subhashis Nag
Article

Abstract

We study some explicit relations between the canonical line bundle and the Hodge bundle over moduli spaces for low genus. This leads to a natural measure on the moduli space of every genus which is related to the Siegel symplectic metric on Siegel upper half-space as well as to the Hodge metric on the Hodge bundle.

Keywords

Canonical measures moduli spaces compact Riemann surfaces Hodge bundle Siegel symplectic metric 

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Copyright information

© Indian Academy of Sciences 1989

Authors and Affiliations

  • Subhashis Nag
    • 1
    • 2
  1. 1.Department of MathematicsCornell UniversityIthacaUSA
  2. 2.Mathematics DivisionIndian Statistical InstituteCalcutta

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