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arXiv · 0911.4734

The rank of the 2nd Gaussian map for general curves

Alberto Calabri·Ciro Ciliberto·Rick Miranda
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Abstract

We prove that, for the general curve of genus g, the 2nd Gaussian map is injective if g <= 17 and surjective if g >= 18. The proof relies on the study of the limit of the 2nd Gaussian map when the general curve of genus g degenerates to a general stable binary curve, i.e. the union of two rational curves meeting at g+1 points.

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Alberto Calabri, Ciro Ciliberto, Rick Miranda. 2010-01-25. The rank of the 2nd Gaussian map for general curves. https://arxiv.org/abs/0911.4734

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