We show that the second fundamental form of the Prym map lifts the second Gaussian map μAμA of the Prym-canonical bundle. We prove, by degeneration to binary curves, that μAμA is surjective for the general point [C,A][C,A] of RgRg for g≥20g≥20.
Prym map and second gaussian map for Prym-canonical line bundles / E. Colombo, P. Frediani. - In: ADVANCES IN MATHEMATICS. - ISSN 0001-8708. - 239:(2013 Jun), pp. 47-71. [10.1016/j.aim.2013.02.009]
Prym map and second gaussian map for Prym-canonical line bundles
E. ColomboPrimo
;
2013
Abstract
We show that the second fundamental form of the Prym map lifts the second Gaussian map μAμA of the Prym-canonical bundle. We prove, by degeneration to binary curves, that μAμA is surjective for the general point [C,A][C,A] of RgRg for g≥20g≥20.
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