Monomial embeddings of the Klein curve

Research output: Contribution to journalArticle

Abstract

The Klein curve is defined by the smooth plane model X3Y + Y3Z + Z3X = 0. We give all embeddings in higher dimension with a linear action of the automorphism group. The curve has 24 flexpoints, i.e. points where the tangent intersects with multiplicity three. For even characteristic, the embeddings yield interesting configurations of the flexpoints and good linear codes.

Original languageEnglish (US)
Pages (from-to)235-246
Number of pages12
JournalDiscrete Mathematics
Volume208-209
DOIs
StatePublished - Oct 28 1999
Externally publishedYes

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Discrete Mathematics and Combinatorics

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