Generic maps of the projective plane with a single triple point

Greg Howard, Sue Goodman

Research output: Contribution to journalArticlepeer-review

Abstract

Cromwell and Marar present an analysis of semi-regular (generic) surfaces with a single triple point and connected self-intersection set. Six of their surfaces are the projective plane, including Boy's surface and Steiner's surface. We build on their work by incorporating twists similar to that of Apery's immersion of the projective plane and show that with a few additional surfaces, all such generic maps of the projective plane are now identified.

Original languageEnglish (US)
Pages (from-to)455-472
Number of pages18
JournalMathematical Proceedings of the Cambridge Philosophical Society
Volume152
Issue number3
DOIs
StatePublished - May 2012
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)

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