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arXiv · 2108.00650

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

Satoru Fukasawa
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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.

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Satoru Fukasawa. 2021-08-02. A generalization of Esteves--Homma's example of tangentially degenerate curves. https://arxiv.org/abs/2108.00650

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