D_n-geometry and singularities of tangent surfaces

Ishikawa, Goo; Machida, Yoshinori; Takahashi, Masatomo

Hokkaido University Preprint Series in Mathematics, 2014, 1058, 2-20

Permalink : https://doi.org/10.14943/84202

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アクセス権	open access
DOI	https://doi.org/10.14943/84202
URI	https://hdl.handle.net/2115/69862
タイトル	D_n-geometry and singularities of tangent surfaces
著者	Ishikawa, Goo ; Machida, Yoshinori ; Takahashi, Masatomo
著者名 Ishikawa, Goo
著者名 Machida, Yoshinori
著者名 Takahashi, Masatomo
言語	英語
発行日	2014-07-07
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	1058
ページ	2-20
抄録	The geometric model for Dn-Dynkin diagram is explicitly constructed and associated generic singularities of tangent surfaces are classified up to local diffeomorphisms. We observe, as well as the triality in D4 case, the difference of the classification for D3,D4,D5 and Dn(n ≥ 6), and a kind of stability of the classification in Dn for n → ∞. Also we present the classifications of singularities of tangent surfaces for the cases B3,A3 = D3,G2,C2 = B2 and A2 arising from D4 by the processes of foldings and removings.
資源タイプ	紀要論文
出版タイプ	Version of Record