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ファイル | 記述 | サイズ | フォーマット | |
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B61-07.pdf | 6.23 MB | Adobe PDF | 見る/開く |
タイトル: | Regularity and $b$-functions for $D$-modules (Microlocal Analysis and Singular Perturbation Theory) |
著者: | Laurent, Yves |
キーワード: | 35A27 D-module regularity b-function |
発行日: | Jan-2017 |
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: | B61 |
開始ページ: | 109 |
終了ページ: | 122 |
抄録: | A holonomic D-module on a complex analytic manifold admits always a b-function along any submanifold. If the module is regular, it admits also a regular b-function, that is a bfunction with a condition on the order of the lower terms of the equation. There is a weaker condition of regularity: regularity along a submanifold. We prove that a module which is regular along a submanifold admits a regular b-function along this submanifold. |
記述: | "Microlocal Analysis and Singular Perturbation Theory". October 5~9, 2015. edited by Yoshitsugu Takei, Takashi Aoki, Naofitmi Honda, Kiyoomi Kataoka and Tatsuya Koike. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed. |
著作権等: | © 2017 by the Research Institute for Mathematical Sciences, Kyoto University. All rights reserved. |
URI: | http://hdl.handle.net/2433/243629 |
出現コレクション: | B61 Microlocal Analysis and Singular Perturbation Theory |

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