Leicester Pure Mathematics Seminar, 10/12/2009
MAB 119 3:30 pm Paola Frediani (University of Pavia)
"Some results on the second Gaussian map for curves"
We study the second Gaussian map for a curve X of genus g, in relation
with the second fundamental form of the period map.
In fact one shows that the holomorphic sectional curvature of M_g along a Schiffer
variation at a point P on the curve X can be expressed in terms of the
holomorphic sectional curvature of A_g and the second Gaussian map.
We study the rank of the second Gaussian map, in particular when the curve is contained in a
K3 surface or in an abelian surface.
These results are obtained in collaboration with Elisabetta Colombo and