Canonical measures on the moduli spaces of compact Riemann surfaces
type: Item
instance of: scholarly article
title: Canonical measures on the moduli spaces of compact Riemann surfaces
zbMATH Open document ID: 0682.32022
DOI: 10.1007/BF02837797
author: Subhashis Nag
published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences
publication date: 1989-01-01T00:00:00Z
review text: Relations between the canonical line bundle and the Hodge bundle over the Teichmüller, Torelli and Riemann moduli space are studied for compact Riemann surfaces of low genus. This leads to a natural measure on the Riemann moduli space for 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.
Mathematics Subject Classification ID: 32G15
Mathematics Subject Classification ID: 30F10
zbMATH DE Number: 4116936
zbMATH Keywords: canonical measures
zbMATH Keywords: moduli space
zbMATH Keywords: compact Riemann surfaces
zbMATH Keywords: Siegel symplectic metric
zbMATH Keywords: Hodge bundle
reviewed by: Steffen Timmann
MaRDI profile type: Publication
cites work: Holomorphic differentials as functions of moduli
cites work: Q4108448
cites work: Stability of projective varieties
cites work: Abelian quotients of the Teichmüller modular group
cites work: Q3994371
cites work: Q4056865
cites work: Q5673172
cites work: Q5513202
full work available at URL: https://doi.org/10.1007/bf02837797
OpenAlex ID: W2039277282
description: scientific article; zbMATH DE number 4116936