| dc.contributor.advisor | 蔡炎龍 | zh_TW |
| dc.contributor.author (Authors) | 白瓊如 | zh_TW |
| dc.creator (作者) | 白瓊如 | zh_TW |
| dc.date (日期) | 2013 | en_US |
| dc.date.accessioned | 2-Dec-2013 17:47:13 (UTC+8) | - |
| dc.date.available | 2-Dec-2013 17:47:13 (UTC+8) | - |
| dc.date.issued (上傳時間) | 2-Dec-2013 17:47:13 (UTC+8) | - |
| dc.identifier (Other Identifiers) | G0100972006 | en_US |
| dc.identifier.uri (URI) | http://nccur.lib.nccu.edu.tw/handle/140.119/61994 | - |
| dc.description (描述) | 碩士 | zh_TW |
| dc.description (描述) | 國立政治大學 | zh_TW |
| dc.description (描述) | 應用數學系數學教學碩士在職專班 | zh_TW |
| dc.description (描述) | 100972006 | zh_TW |
| dc.description (描述) | 102 | zh_TW |
| dc.description.abstract (摘要) | 本篇論文主要是在討論熱帶曲線上離散型的因子的秩,我們發現直接由定義計算因子的秩時非常繁複,因此利用代數幾何中的“黎曼-羅赫定理”(The Riemann-Roch Theorem),藉由圖形的虧格計算熱帶曲線因子的秩,大幅的簡化了我們在離散型熱帶曲線因子秩的計算。 | zh_TW |
| dc.description.tableofcontents | 中文摘要..........2Abstract.........31 緒論............72 熱帶幾何.........83 圖形中的因子.....174 黎曼-羅赫定理....275 結論...........36參考文獻..........37 | zh_TW |
| dc.format.extent | 249190 bytes | - |
| dc.format.mimetype | application/pdf | - |
| dc.language.iso | en_US | - |
| dc.source.uri (資料來源) | http://thesis.lib.nccu.edu.tw/record/#G0100972006 | en_US |
| dc.subject (關鍵詞) | 熱帶幾何 | zh_TW |
| dc.title (題名) | 離散型熱帶黎曼-羅赫定理 | zh_TW |
| dc.title (題名) | Discrete Tropical Riemann-Roch Theory | en_US |
| dc.type (資料類型) | thesis | en |
| dc.relation.reference (參考文獻) | [1] Matthew Baker and Serguei Norine. Riemann-roch and abel-jacobitheory on a finite graph. pages 1–11, 2007.[2] Andreas Gathmann. Tropical algebraic geometry. Jahresber.Deutsch. Math.-Verein., 108(1):3–32, 2006.[3] Thorsten Theobald Jürgen Richter-Gebert, Bernd Sturmfels. Firststeps in tropical geometry. 2003.[4] Diane Maclagan. Introduction to tropical algebraic geometry.pages 1–13, 2012.[5] David Speyer and Bernd Sturmfels. Tropical mathematics. Math. | zh_TW |