Data di Pubblicazione:
2010
Citazione:
Siegel metric and curvature of the moduli space of curves / E. Colombo, P. Frediani. - In: TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 0002-9947. - 362:3(2010), pp. 1231-1246.
Abstract:
We study the curvature of the moduli space Mg of curves of
genus g with the Siegel metric induced by the period map j : Mg ! Ag.
We give an explicit formula for the holomorphic sectional curvature of
Mg along a Schiffer variation xP , for P a point on the curve X, in terms
of the holomorphic sectional curvature of Ag and the second Gaussian
map. Finally we extend the K¨ahler form of the Siegel metric as a closed
current on Mg and we determine its cohomology class as a multiple of
lambda.
Tipologia IRIS:
01 - Articolo su periodico
Elenco autori:
E. Colombo, P. Frediani
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