政大機構典藏-National Chengchi University Institutional Repository(NCCUR):Item 140.119/54644

政大機構典藏-National Chengchi University Institutional Repository(NCCUR):Item 140.119/54644

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政大典藏 > College of Science > Department of Mathematical Sciences > Theses > Item 140.119/54644

Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/54644

Title:	二維平滑熱帶環面法諾曲體之研究 On Two-Dimensional Smooth Tropical Toric Fano Varieties
Authors:	陳振偉 Chen, Chen Wei
Contributors:	蔡炎龍 Tsai, Yen Lung 陳振偉 Chen, Chen Wei
Keywords:	熱帶環面法諾曲體 Tropical Toric Fano Varieties
Date:	2011
Issue Date:	2012-10-30 11:27:55 (UTC+8)
Abstract:	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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Description:	碩士國立政治大學應用數學研究所 96751007 100
Source URI:	http://thesis.lib.nccu.edu.tw/record/#G0096751007
Data Type:	thesis
Appears in Collections:	[Department of Mathematical Sciences] Theses

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