Canonical measures on the moduli spaces of compact Riemann surfaces |
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| Authors: | Subhashis Nag |
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| Affiliation: | (1) Department of Mathematics, Cornell University, 14853 Ithaca, New York, USA;(2) Mathematics Division, Indian Statistical Institute, 700035 Calcutta |
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| 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. |
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| Keywords: | Canonical measures moduli spaces compact Riemann surfaces Hodge bundle Siegel symplectic metric |
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