Canonical measures on the moduli spaces of compact Riemann surfaces
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.
scientific article; zbMATH DE number 4116936