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ファイル | 記述 | サイズ | フォーマット | |
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2049-11.pdf | 988.02 kB | Adobe PDF | 見る/開く |
タイトル: | On some classification results of real singularities up to the arc-analytic equivalence (Singularity theory of differential maps and its applications) |
著者: | Campesato, Jean-Baptiste |
発行日: | Oct-2017 |
出版者: | 京都大学数理解析研究所 |
誌名: | 数理解析研究所講究録 |
巻: | 2049 |
開始ページ: | 116 |
終了ページ: | 125 |
抄録: | This note is an expanded version of a talk given during the conference Singularity theory of differential maps and ifs applications at the RIMS, Kyoto (December 6-9, 2016). We first state the definition and some properties of the arc-analytic equivalence which is an equivalence relation with no continuous moduli on Nash(i.e. real analytic and semialgebraic) function germs. It is a semialgebraic version of the blow-analytic equivalence of T.-C. Kuo. Then, we present an invariant of the arc-analytic equivalence which is constructed following the motivic zeta function of Denef-Loeser. Finally, we explain how to derive from it some classification results for Brieskorn polynomials and more generally for some weighted homogeneous polynomials. |
URI: | http://hdl.handle.net/2433/237057 |
出現コレクション: | 2049 可微分写像の特異点論とその応用 |

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