Bitangents to a quartic surface and infinitesimal deformations
Algebraic Geometry
2021-05-04 v2
Abstract
We show that the Hilbert scheme which parameterises bitangent lines to a general quartic surface is a counterexample to the infinitesimal Torelli claim and is a smooth regular surface with no rational curves and very ample canonical divisor.
Cite
@article{arxiv.1910.01365,
title = {Bitangents to a quartic surface and infinitesimal deformations},
author = {Pietro Corvaja and Francesco Zucconi},
journal= {arXiv preprint arXiv:1910.01365},
year = {2021}
}
Comments
18 pages