Tangent varieties and openings of map-germs

Ishikawa, Goo

Hokkaido University Preprint Series in Mathematics, 2012, 1015, 1-20

Permalink : https://doi.org/10.14943/84161

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アクセス権	open access
DOI	https://doi.org/10.14943/84161
URI	https://hdl.handle.net/2115/69820
タイトル	Tangent varieties and openings of map-germs
著者	著者名 Ishikawa, Goo
言語	英語
発行日	2012-08-20
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	1015
ページ	1-20
抄録	By taking embedded tangent spaces to a submanifold in an affine space, we obtain a ruled variety, which is called the tangent variety to the submanifold and has non-isolated singularities in general. We explain a method of modifications of map-germs, which we call openings of map-germs, and study the local classification problem of tangent varieties in terms of the opening construction. In particular, we present the general stable classification result of tangent varieties to generic submanifolds of sufficiently high codimension.
資源タイプ	紀要論文
出版タイプ	Version of Record