Bifurcation of plane-to-plane map-germs of corank 2

Toshiki Yoshida, Yutaro Kabata, Toru Ohmoto*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)


We describe the bifurcation diagrams of plane-to-plane map-germs of corank 2 up to Aecodimension 4, and draw some new pictures. Two applications are presented: First, we study the affine differential geometry of crosscaps in 3-space by means of analyzing singularities of projections of the singular surface to the plane. Secondly, we give some new examples of generic two-dimensional bifurcations of D4+-type planar caustics.

Original languageEnglish
Pages (from-to)369-391
Number of pages23
JournalQuarterly Journal of Mathematics
Issue number1
Publication statusPublished - 2015 Mar 1
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)


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