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Veech surfaces and simple closed curves
https://oist.repo.nii.ac.jp/records/729
https://oist.repo.nii.ac.jp/records/729974868d0-381f-4cc7-bc66-13e3392b5624
名前 / ファイル | ライセンス | アクション |
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FTT-Veech-revised (232.2 kB)
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Item type | 学術雑誌論文 / Journal Article(1) | |||||
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公開日 | 2018-11-25 | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | Veech surfaces and simple closed curves | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
資源タイプ | journal article | |||||
著者(英) |
Forester, Max
× Forester, Max× Tang, Robert× Tao, Jing |
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書誌情報 |
en : Israel Journal of Mathematics 巻 223, 号 1, p. 323-342, 発行日 2017-11-24 |
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抄録 | ||||||
内容記述タイプ | Other | |||||
内容記述 | We study the SL(2, a"e)-infimal lengths of simple closed curves on halftranslation surfaces. Our main result is a characterization of Veech surfaces in terms of these lengths. We also revisit the "no small virtual triangles" theorem of Smillie and Weiss and establish the following dichotomy: the virtual triangle area spectrum of a half-translation surface either has a gap above zero or is dense in a neighborhood of zero. These results make use of the auxiliary polygon associated to a curve on a half-translation surface, as introduced by Tang and Webb. |
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出版者 | ||||||
出版者 | The Hebrew University Magnes Press | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 1565-8511 | |||||
DOI | ||||||
関連タイプ | isVersionOf | |||||
識別子タイプ | DOI | |||||
関連識別子 | info:doi/10.1007/s11856-017-1617-5 | |||||
権利 | ||||||
権利情報 | © 2018 Hebrew University of Jerusalem | |||||
権利 | ||||||
権利情報 | This is a post-peer-review, pre-copyedit version of an article published in Israel Journal of Mathematics. The final authenticated version is available online at: https://doi.org/10.1007/s11856-017-1617-5 | |||||
関連サイト | ||||||
識別子タイプ | URI | |||||
関連識別子 | https://link.springer.com/article/10.1007/s11856-017-1617-5#enumeration | |||||
著者版フラグ | ||||||
出版タイプ | AM | |||||
出版タイプResource | http://purl.org/coar/version/c_ab4af688f83e57aa |