The rank of the 2nd Gaussian map for general curves
Algebraic Geometry
2010-01-25 v2
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.
Cite
@article{arxiv.0911.4734,
title = {The rank of the 2nd Gaussian map for general curves},
author = {Alberto Calabri and Ciro Ciliberto and Rick Miranda},
journal= {arXiv preprint arXiv:0911.4734},
year = {2010}
}
Comments
10 pages; typos and proof of Thm 14 corrected