A generalization of Esteves--Homma's example of tangentially degenerate curves

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.