A generalization of Esteves--Homma's example of tangentially degenerate curves
Algebraic Geometry
2023-06-29 v3
Abstract
This paper presents a method of a construction of tangentially degenerate curves with a birational Gauss map, focusing on the non-classicality of automorphisms. This method describes a generalization of Esteves--Homma's example of this kind. In addition, this paper presents a smooth projective curve with a birational Gauss map such that a general tangent line contains three or more points of the curve, which answers a question raised by Kaji in the affirmative.
Keywords
Cite
@article{arxiv.2108.00650,
title = {A generalization of Esteves--Homma's example of tangentially degenerate curves},
author = {Satoru Fukasawa},
journal= {arXiv preprint arXiv:2108.00650},
year = {2023}
}
Comments
8 pages. Added New Theorem 1