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B51-01.pdf | 1.13 MB | Adobe PDF | 見る/開く |
タイトル: | Finiteness of certain products of algebraic groups over a finite field (Algebraic Number Theory and Related Topics 2012) |
著者: | Hiranouchi, Toshiro |
著者名の別形: | ヒラノウチ, トシロウ |
キーワード: | 19F05 |
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: | 3 |
終了ページ: | 14 |
抄録: | Let G_{1}, ..., G_{n} be smooth connected and commutative algebraic groups over a finite field F. We show the finiteness of the tensor product (G_{1}Motimescdots Motimes G_{n})(Spec F) of G_{1}, ..., G_{n} in the category of Mackey functors and also Ivorra-Rülling s K-group T(G_{1}, ..., G_{n})(Spec F) associated with those algebraic groups as reciprocity functors. We apply this to prove that, for a product of open curves, the finiteness of the relative Chow group and an abelian fundamental group which classies abelian coverings with bounded ramication along the boundary. |
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/2433/232888 |
出現コレクション: | B51 Algebraic Number Theory and Related Topics 2012 |
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