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タイトル: | An improvement of the duality formalism of the rational étale site (Algebraic Number Theory and Related Topics 2018) |
著者: | SUZUKI, Takashi |
著者名の別形: | 鈴木, 貴士 |
キーワード: | 14F20 11S25 11G10 Duality Grothendieck topologies abelian varieties |
発行日: | Jul-2021 |
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: | B86 |
開始ページ: | 287 |
終了ページ: | 330 |
抄録: | We improve the arithmetic duality formalism of the rational étale site. This improvement allows us to avoid some exotic approximation arguments on local fields with ind-rational base, thus simplifying the proofs of the previously established duality theorems in the rational éetale site and making the formalism more user-friendly. In a subsequent paper, this new formulation will be used in a crucial way to study duality for two-dimensional local rings. |
記述: | Algebraic Number Theory and Related Topics 2018. November 26-30, 2018. edited by Takao Yamazaki and Shuji Yamamoto. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed. |
著作権等: | © 2021 by the Research Institute for Mathematical Sciences, an International Joint Usage/Research Center located in Kyoto University. All rights reserved. |
URI: | http://hdl.handle.net/2433/265161 |
出現コレクション: | B86 Algebraic Number Theory and Related Topics 2018 |
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