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

2011/05/23 by Elisabetta Colombo, Paola Frediani, Colombo, Elisabetta +1 · 1 citation
Mathematics · #14H10 #14K12 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14H10 #msc:14K12

paper · pdf · doi:10.48550/arxiv.1105.4472

Final version. To appear in Advances in Mathematics

arxiv created 2013/02/25 · arxiv updated 2013/02/26

Abstract

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.

Cited by

• On the first Gaussian map for Prym-canonical line bundles

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