Canonical measures on the moduli spaces of compact Riemann surfaces

Nag, Subashis (1989) Canonical measures on the moduli spaces of compact Riemann surfaces Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 99 (2). pp. 103-111. ISSN 0253-4142

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Official URL: http://www.ias.ac.in/j_archive/mathsci/99/2/103-11...

Related URL: http://dx.doi.org/10.1007/BF02837797

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.

Item Type:Article
Source:Copyright of this article belongs to Indian Academy of Sciences.
Keywords:Canonical Measures; Moduli Spaces; Compact Riemann Surfaces; Hodge Bundle; Siegel Symplectic Metric
ID Code:33333
Deposited On:21 Mar 2011 14:06
Last Modified:17 May 2016 16:11

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