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D_n-geometry and singularities of tangent surfaces

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Please use this identifier to cite or link to this item:http://doi.org/10.14943/84202

Title: D_n-geometry and singularities of tangent surfaces
Authors: Ishikawa, Goo Browse this author
Machida, Yoshinori Browse this author
Takahashi, Masatomo Browse this author
Issue Date: 7-Jul-2014
Journal Title: Hokkaido University Preprint Series in Mathematics
Volume: 1058
Start Page: 2
End Page: 20
Abstract: 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.
Type: bulletin (article)
URI: http://hdl.handle.net/2115/69862
Appears in Collections:理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics

Submitter: 数学紀要登録作業用

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