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Hokkaido University Preprint Series in Mathematics >
Tangent varieties and openings of map-germs
| Title: | Tangent varieties and openings of map-germs |
| Authors: | Ishikawa, Goo Browse this author |
| Issue Date: | 20-Aug-2012 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 1015 |
| Start Page: | 1 |
| End Page: | 20 |
| Abstract: | 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. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69820 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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