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    题名: 二維平滑熱帶環面法諾曲體之研究
    On Two-Dimensional Smooth Tropical Toric Fano Varieties
    作者: 陳振偉
    Chen, Chen Wei
    贡献者: 蔡炎龍
    Tsai, Yen Lung
    陳振偉
    Chen, Chen Wei
    关键词: 熱帶環面法諾曲體
    Tropical Toric Fano Varieties
    日期: 2011
    上传时间: 2012-10-30 11:27:55 (UTC+8)
    摘要: 這篇論文裡，我們研究熱帶環面曲體，尤其是熱帶環面法諾曲體。如同古典代數幾何裡的情況一樣，要建構熱帶環面曲體，我們先從扇型開始建構。然而在某些結構裡沒辦法有熱帶化的對應，因此我們需要選一個適當的定義，這個定義必需可看成是古典情況類推而來的。在我們的論文中，使用我們認為合適的定義，計算所有平滑二維熱帶環面法諾曲體的情況，結果也證實非常類似古典的情形。
    In this thesis, we survey and study tropical toric varieties with focus on tropical toric Fano varieties. To construct tropical toric varieties, we start with fans, just like the situation in classical algebraic geometry. However, some constructions does not make sense in tropical settings. Therefore, we need to choose a reasonable definition which give an analogue of a classical toric variety. In the end of this paper, we use the definition we choose, and explicitly calculate all smooth two-dimensional tropical toric Fano varieties which we found are very similar to classical cases.
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    描述: 碩士
    國立政治大學
    應用數學研究所
    96751007
    100
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    数据类型: thesis
    显示于类别:[應用數學系] 學位論文

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