Siegel metric and curvature of the moduli space of curves

Simple item page
dc.creatorColombo, Elisabetta
dc.creatorFrediani, Paola
dc.date2008-05-22
dc.date.accessioned2026-07-07T09:40:22Z
dc.date.available2026-07-07T09:40:22Z
dc.descriptionWe study the curvature of the moduli space M_g of curves of genus g with the Siegel metric induced by the period map. We give an explicit formula for the holomorphic sectional curvature of M_g along a Schiffer variation at a point P on the curve X, in terms of the holomorphic sectional curvature of A_g and the second Gaussian map. Finally we extend the Kaehler form of the Siegel metric as a closed current on the Deligne-Mumford compatification of M_g and we determine its cohomology class as a multiple of the first Chern class of the Hodge bundle.
dc.identifierhttps://arxiv.org/abs/0805.3425
dc.identifierhttp://arxiv.org/abs/0805.3425
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/161462
dc.subjectAlgebraic Geometry
dc.subject14H10; 14h15; 14K25; 53C42; 53C55
dc.titleSiegel metric and curvature of the moduli space of curves
dc.typetext

Files

Collections

arXiv