The rank of the 2nd Gaussian map for general curves

Details The rank of the 2nd Gaussian map for general curves The rank of the 2nd Gaussian map for general curves

2009-11-24

arxiv.org/abs/0911.4734v2

Mathematics

Algebraic Geometry

10 pages; typos and proof of Thm 14 corrected

Scientific paper

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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