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B72-14.pdf | 3.22 MB | Adobe PDF | 見る/開く |
タイトル: | On the Existence, Geometry and $p$-Ranks of Vertical Fibers of Coverings of Curves (Algebraic Number Theory and Related Topics 2015) |
著者: | YANG, Yu |
著者名の別形: | 陽, 煜 |
キーワード: | 14H30 11G20 stable curve p-rank vertical fiber ordinary |
発行日: | Dec-2018 |
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: | B72 |
開始ページ: | 187 |
終了ページ: | 193 |
抄録: | Let R be a complete DVR with algebraically closed residue field of characteristic p> 0 and X, Y stable curves over R with smooth generic fibers. Let f : Y arrow X be a morphism over R such that the morphism of generic fibers induced by f is a Galois étale covering. A closed point x of X is called a vertical point if dim f^{-1}(x) = 1 . In this case, f^{-1}(x) is called the vertical fiber associated to x . We study the existence, the geometry, and the p-ranks of vertical fibers under certain assumptions. |
記述: | "Algebraic Number Theory and Related Topics 2015". November 30 - December 4, 2015. edited by Hiroki Takahashi, Yasuo Ohno and Takahiro Tsushima. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed. |
著作権等: | © 2018 by the Research Institute for Mathematical Sciences, Kyoto University. All rights reserved. |
URI: | http://hdl.handle.net/2433/244744 |
出現コレクション: | B72 Algebraic Number Theory and Related Topics 2015 |
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