Prym map and second gaussian map for Prym-canonical line bundles

Details Prym map and second gaussian map for Prym-canonical line bundles Prym map and second gaussian map for Prym-canonical line bundles

2011-05-23

arxiv.org/abs/1105.4472v1

Mathematics

Algebraic Geometry

Scientific paper

We show that the second fundamental form of the Prym map lifts the second
gaussian map of the Prym-canonical bundle. We prove, by degeneration to binary
curves, that this gaussian map is surjective for the general point [C,A] of R_g
for g > 19.

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