On the tangentially degenerate curves, II

Hajime Kaji

doi:10.1007/s00574-014-0072-8

On the tangentially degenerate curves, II

Hajime Kaji

School of Fundamental Science and Engineering

Research output: Contribution to journal › Article

2 Citations (Scopus)

Abstract

A projective curve X in ℙ^Nis said to be tangentially degenerate if a tangent line to X at a general point P meets X again at a point other than P. In this article, we prove that if X is tangentially degenerate in characteristic zero, then X is contained in a 2-plane under a certain condition on singularities of X. We also investigate a counter-example of E. Esteves and M. Homma in positive characteristic case, and present a conjecture that our investigation leads to.

Original language	English
Pages (from-to)	745-752
Number of pages	8
Journal	Bulletin of the Brazilian Mathematical Society
Volume	45
Issue number	4
DOIs	https://doi.org/10.1007/s00574-014-0072-8
Publication status	Published - 2014 Jan 1

Keywords

Gauss map
orders
reflexive
tangentially degenerate

ASJC Scopus subject areas

Mathematics(all)

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10.1007/s00574-014-0072-8

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Kaji, H. (2014). On the tangentially degenerate curves, II. Bulletin of the Brazilian Mathematical Society, 45(4), 745-752. https://doi.org/10.1007/s00574-014-0072-8

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