Please use this identifier to cite or link to this item: https://ah.nccu.edu.tw/handle/140.119/55095


Title: K 穩定性與熱帶幾何之研究
On K Stability and Tropical Geometry
Authors: 李威德
Li, Wei De
Contributors: 蔡炎龍
Tsai, Yen Lung
李威德
Li, Wei De
Keywords: K穩定性
熱帶幾何
法諾超平面
K stability
tropical geometry
Fano hypersurface
Date: 2011
Issue Date: 2012-10-30 16:27:29 (UTC+8)
Abstract: 在這篇論文中,我們從K energy的角度探討緊緻法諾超平面上的K穩定性。首先,我們給K energy一個較明確的型式,接著再透過分析的手法求解其導函數。後續,我們引進熱帶幾何的結構來重新分析主要的結果,最後給一些法諾超平面的實例,驗證我們所得到的公式。
In this thesis, we analyze K stability on compact Fano hypersurfaces from K energy. We first represent the K energy into an explicitly formula. Then we compute the derivative by using some analytic techniques. Furthermore, we introduce some structures of tropical geometry to analyze the main result. Finally, we give some examples of compact Fano hypersurface to test and verify the formula we get.
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Description: 碩士
國立政治大學
應用數學研究所
99751004
100
Source URI: http://thesis.lib.nccu.edu.tw/record/#G0997510041
Data Type: thesis
Appears in Collections:[應用數學系] 學位論文

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