On the tangentially degenerate curves, II

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2 Citations (Scopus)

Abstract

A projective curve X in ℙNis 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 languageEnglish
Pages (from-to)745-752
Number of pages8
JournalBulletin of the Brazilian Mathematical Society
Volume45
Issue number4
DOIs
Publication statusPublished - 2014 Jan 1

Keywords

  • Gauss map
  • orders
  • reflexive
  • tangentially degenerate

ASJC Scopus subject areas

  • Mathematics(all)

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