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題名 熱帶曲線上因子之秩的計算
其他題名 Computing Ranks of Divisors on Tropical Curves
作者 蔡炎龍
貢獻者 應用數學學系
日期 2013
上傳時間 20-Apr-2016 17:22:35 (UTC+8)
摘要 本計畫的目標是實際計算給定熱帶曲線因子的秩。目前已有不少熱帶版的 黎曼-羅赫定理的研究, 這自然是我們的重要工具之一。更重要的是, 我們創 造了一個有希望簡化計算的技巧, 並且應用 Baker-Norine, Amini-Caporaso, Hladký-Král’-Norine 的理論完成我們的目標。最後我們會撰寫一個計算熱帶 因子的套件, 協助本項及日後其他相關研究工作進行。
In this project, we would like to carry out explicitly calculation of the rank of divisors of a tropical curve. We do have the Riemann-Roch for tropical curves which is of course an important tool for us. Moreover, we take a brand new approach to do the task, which will simplify the computation. We will also study and apply techniques provided by Baker-Norine, Amini- Caporaso, and Hladký-Král’-Norine to help our calculation. Finally, we will develop a computer package to deal with divisors of tropical curves.
關聯 計畫編號 NSC 102-2115-M004-001
資料類型 report
dc.contributor 應用數學學系
dc.creator (作者) 蔡炎龍zh_TW
dc.date (日期) 2013
dc.date.accessioned 20-Apr-2016 17:22:35 (UTC+8)-
dc.date.available 20-Apr-2016 17:22:35 (UTC+8)-
dc.date.issued (上傳時間) 20-Apr-2016 17:22:35 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/85856-
dc.description.abstract (摘要) 本計畫的目標是實際計算給定熱帶曲線因子的秩。目前已有不少熱帶版的 黎曼-羅赫定理的研究, 這自然是我們的重要工具之一。更重要的是, 我們創 造了一個有希望簡化計算的技巧, 並且應用 Baker-Norine, Amini-Caporaso, Hladký-Král’-Norine 的理論完成我們的目標。最後我們會撰寫一個計算熱帶 因子的套件, 協助本項及日後其他相關研究工作進行。
dc.description.abstract (摘要) In this project, we would like to carry out explicitly calculation of the rank of divisors of a tropical curve. We do have the Riemann-Roch for tropical curves which is of course an important tool for us. Moreover, we take a brand new approach to do the task, which will simplify the computation. We will also study and apply techniques provided by Baker-Norine, Amini- Caporaso, and Hladký-Král’-Norine to help our calculation. Finally, we will develop a computer package to deal with divisors of tropical curves.
dc.format.extent 599786 bytes-
dc.format.mimetype application/pdf-
dc.relation (關聯) 計畫編號 NSC 102-2115-M004-001
dc.title (題名) 熱帶曲線上因子之秩的計算zh_TW
dc.title.alternative (其他題名) Computing Ranks of Divisors on Tropical Curves
dc.type (資料類型) report