ダウンロード数: 88
このアイテムのファイル:
| ファイル | 記述 | サイズ | フォーマット | |
|---|---|---|---|---|
| 978-3-030-13158-6_5.pdf | 189.81 kB | Adobe PDF | 見る/開く |
| タイトル: | Tropical geometric compactification of moduli, I – M g case |
| 著者: | Odaka, Yuji |
| 著者名の別形: | 尾髙, 悠志 |
| キーワード: | Moduli of curves Compactification Tropical geometry |
| 発行日: | 2019 |
| 出版者: | Springer International Publishing |
| 誌名: | Moduli of K-stable Varieties : Springer INdAM Series |
| 巻: | 31 |
| 開始ページ: | 75 |
| 終了ページ: | 101 |
| 抄録: | We compactify the classical moduli variety of compact Riemann surfaces by attaching moduli of (metrized) graphs as boundary. The compactifications do not admit the structure of varieties and patch together to form a big connected moduli space in which ⊔gMg is open dense. The metrized graphs, which are often studied as “tropical curves”, are obtained as Gromov-Hausdorff collapse by fixing diameters of the hyperbolic metrics of the Riemann surfaces. This phenomenon can be also seen as an archemidean analogue of the tropicalization of Berkovich analytification of Mg [1]. |
| 著作権等: | This is a post-peer-review, pre-copyedit version of an article published in Moduli of K-stable Varieties. The final authenticated version is available online at: http://dx.doi.org/10.1007/978-3-030-13158-6_5. The full-text file will be made open to the public on 27 June 2021 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/2433/244387 |
| DOI(出版社版): | 10.1007/978-3-030-13158-6_5 |
| 出現コレクション: | 学術雑誌掲載論文等 |
このリポジトリに保管されているアイテムはすべて著作権により保護されています。