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B51-06.pdf | 2.24 MB | Adobe PDF | 見る/開く |
タイトル: | Singular homologies of non-archimedean analytic spaces and integrals along cycles : a research announcement (Algebraic Number Theory and Related Topics 2012) |
著者: | Mihara, Tomoki |
著者名の別形: | ミハラ, トモキ |
キーワード: | 11S80 |
発行日: | Oct-2014 |
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: | B51 |
開始ページ: | 85 |
終了ページ: | 106 |
抄録: | This article is an announcement of the author' s results in [Mih]. We construct a new homology, which admits a canonical action of the absolute Galois group G_{k} of the base field k, for Berkovich 's non-Archimedean analytic space. We also dene a new integration of an overconvergent differential form along a cycle. The integration takes its value in Fontaine' s p-adic period ring, and it induces a Galois equivariant pairing of the homology and the space of overconvergent differential forms. Moreover, we verify the homology and the integration satisfy many appropriate properties for homology and integration theories. We compute the homology of certain analytic spaces. |
記述: | "Algebraic Number Theory and Related Topics 2012". December 3~7, 2012. edited by Atsushi Shiho, Tadashi Ochiai and Noriyuki Otsubo. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed. |
著作権等: | © 2014 by the Research Institute for Mathematical Sciences, Kyoto University. All rights reserved. |
URI: | http://hdl.handle.net/2433/232893 |
出現コレクション: | B51 Algebraic Number Theory and Related Topics 2012 |
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