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A Tropical Characterization of Algebraic Subvarieties of Toric Varieties over Non-Archimedean Fields
http://hdl.handle.net/2261/00077196
http://hdl.handle.net/2261/00077196c5863474-915f-42c3-9302-890187e8c0ee
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
jms250202.pdf (245.2 kB)
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| Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
|---|---|---|---|---|---|---|
| 公開日 | 2019-07-01 | |||||
| タイトル | ||||||
| タイトル | A Tropical Characterization of Algebraic Subvarieties of Toric Varieties over Non-Archimedean Fields | |||||
| 言語 | ||||||
| 言語 | eng | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | Tropical geometry | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | rigid analytic geometry | |||||
| 資源タイプ | ||||||
| 資源 | http://purl.org/coar/resource_type/c_6501 | |||||
| タイプ | departmental bulletin paper | |||||
| 著者 |
Mikami, Ryota
× Mikami, Ryota |
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| 著者所属 | ||||||
| 著者所属 | Department of Mathematics, Faculty of Science, Kyoto University | |||||
| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | We study the tropicalizations of analytic subvarieties of normal toric varieties over complete non-archimedean valuation fields. We show that a Zariski closed analytic subvariety of a normal toric variety is algebraic if its tropicalization is a finite union of polyhedra. Previously, the converse direction was known by the theorem of Bieri and Groves. Over the field of complex numbers, Madani, L. Nisse, and M. Nisse proved similar results for analytic subvarieties of tori. | |||||
| 書誌情報 |
Journal of Mathematical Sciences The University of Tokyo 巻 25, 号 2, p. 129-147, 発行日 2018-06-29 |
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| ISSN | ||||||
| 収録物識別子タイプ | ISSN | |||||
| 収録物識別子 | 13405705 | |||||
| 書誌レコードID | ||||||
| 収録物識別子タイプ | NCID | |||||
| 収録物識別子 | AA11021653 | |||||
| Mathmatical Subject Classification | ||||||
| 14T05(MSC2010) | ||||||
| Mathmatical Subject Classification | ||||||
| 14G22(MSC2010) | ||||||
| Mathmatical Subject Classification | ||||||
| 14M25(MSC2010) | ||||||
| 出版者 | ||||||
| 出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
| 原稿受領日 | ||||||
| 2017-08-02 | ||||||
