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| ファイル | 記述 | サイズ | フォーマット | |
|---|---|---|---|---|
| imrn_rnu059.pdf | 282.8 kB | Adobe PDF | 見る/開く |
| タイトル: | Rank of Divisors on Hyperelliptic Curves and Graphs Under Specialization |
| 著者: | Kawaguchi, Shu   Yamaki, Kazuhiko  https://orcid.org/0000-0002-1946-8055 (unconfirmed) |
| 著者名の別形: | 川口, 周 山木, 壱彦 |
| 発行日: | 2015 |
| 出版者: | Oxford University Press |
| 誌名: | International Mathematics Research Notices |
| 巻: | 2015 |
| 号: | 12 |
| 開始ページ: | 4121 |
| 終了ページ: | 4176 |
| 抄録: | Let (G,ω) be a hyperelliptic vertex-weighted graph of genus g≥2. We give a characterization of (G,ω) for which there exists a smooth projective curve X of genus g over a complete discrete valuation field with reduction graph (G,ω) such that the ranks of any divisors are preserved under specialization. We explain, for a given vertex-weighted graph (G,ω) in general, how the existence of such X relates the Riemann–Roch formulae for X and (G,ω), and also how the existence of such X is related to a problem by Caporaso. |
| 記述: | First published online: May 3, 2014 |
| 著作権等: | This is a pre-copyedited, author-produced PDF of an article accepted for publication in 'International Mathematics Research Notices' following peer review. The version of record [Int Math Res Notices (2015) 2015 (12): 4121-4176.
doi: 10.1093/imrn/rnu059] is available online at: http://imrn.oxfordjournals.org/content/2015/12/4121. The full-text file will be made open to the public on 3 May 2015 in accordance with publisher's 'Terms and Conditions for Self-Archiving'. This is not the published version. Please cite only the published version. この論文は出版社版でありません。引用の際には出版社版をご確認ご利用ください。 |
| URI: | http://hdl.handle.net/2433/202903 |
| DOI(出版社版): | 10.1093/imrn/rnu059 |
| 出現コレクション: | 学術雑誌掲載論文等 |
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