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| ファイル | 記述 | サイズ | フォーマット | |
|---|---|---|---|---|
| B55-03.pdf | 2.38 MB | Adobe PDF | 見る/開く |
| タイトル: | Fibration structures and formulae for the Euler characteristics of Milnor fibers (Theory of singularities of smooth mappings and around it) |
| 著者: | Dutertre, Nicolas Araújo dos Santos, Raimundo Chen, Ying Andrade do Espirito Santo, Antonio |
| キーワード: | 32S55 14P15 57R45 58K05 Milnor fibrations Open book structures Euler characteristic Semi-algebraic sets |
| 発行日: | Apr-2016 |
| 出版者: | Research Institute for Mathematical Sciences, Kyoto University |
| 誌名: | 数理解析研究所講究録別冊 |
| 巻: | B55 |
| 開始ページ: | 41 |
| 終了ページ: | 65 |
| 抄録: | In this article, we review some fibration structure theorems (also called Milnor s fibration theorems) recently proved in the real and complex cases, in the local and global settings. We give several Poincaré-Hopf type formulae which relate the Euler-Poincaré characteristics of these fibers (also called Milnor fibers) and indices (topological degrees) of appropriate vector fields defined on spheres of radii small or big enough. Some of them are new formulas. |
| 記述: | "Theory of singularities of smooth mappings and around it". November 25～29, 2013. edited by Takashi Nishimura. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed. |
| 著作権等: | © 2016 by the Research Institute for Mathematical Sciences, Kyoto University. All rights reserved. |
| URI: | http://hdl.handle.net/2433/241305 |
| 出現コレクション: | B55 Theory of singularities of smooth mappings and around it |
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