政大機構典藏-National Chengchi University Institutional Repository(NCCUR):Item 140.119/54047

English | 正體中文 | 简体中文 | Post-Print筆數 : 27 | Items with full text/Total items : 113822/144841 (79%)
Visitors : 51819720 Online Users : 510

RC Version 6.0 © Powered By DSPACE, MIT. Enhanced by NTU Library IR team.

Home ‧ Login ‧ Upload ‧ Help ‧ About ‧ Administer

政大典藏 > College of Science > Department of Mathematical Sciences > NSC Projects > Item 140.119/54047

Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/54047

Title:	熱帶幾何相交理論與熱帶循環之研究(II)
Other Titles:	On Tropical Intersection Theory and Tropical Cycles (II)
Authors:	蔡炎龍
Contributors:	國立政治大學應用數學學系行政院國家科學委員會
Keywords:	數學
Date:	2009
Issue Date:	2012-10-24 16:13:52 (UTC+8)
Abstract:	本計畫承接去年計畫, 研究熱帶幾何相交理論。我們正進行的計畫, 是研究熱帶相交之相關理論, 及熱帶代數簇之計算方式。在這個計畫中, 我們會以熱帶幾何的角度, 去研究萊夫謝茨束及流形退化的問題。主要的關鍵是要使用熱帶幾何去研究非交換餘調。我們準備發展一個叫「非交換餘調熱帶化」的技巧, 並希望能應用這新的技術, 研究單值作用。為達到我們的目標, 我們需要深入理解熱帶相交理論, 並且能計算熱帶簇。我們會用進行中計畫得到的成果, 在這個計畫中實際應用出來。 The project is a continuation of our previous project. Our on-going project is to learn basic theory of the tropical intersection theory, as well as the computing techniques of tropical varieties. In this project, we will apply what we learn to study Lefschetz pencils and manifold degenerations in tropical settings. A key point is to apply tropical geometry to study non-abelian cohomology. We would like to develop a new technique, which we call ""tropicalization of non-abelian chomology,`` to study monodromy actions. To achieve our goal, we need to comprehend tropical intersection theory and tropical cycles, as well as the ability to compute tropical algebraic variety. We would like to apply what we learn from our on-going project to this new project.
Relation:	基礎研究學術補助研究期間:9808~ 9907 研究經費:306仟元
Data Type:	report
Appears in Collections:	[Department of Mathematical Sciences] NSC Projects

Files in This Item:

File	Size	Format
982115M004002.pdf	1057Kb	Adobe PDF2	606	View/Open

社群 sharing

著作權政策宣告 Copyright Announcement

1.本網站之數位內容為國立政治大學所收錄之機構典藏，無償提供學術研究與公眾教育等公益性使用，惟仍請適度，合理使用本網站之內容，以尊重著作權人之權益。商業上之利用，則請先取得著作權人之授權。
The digital content of this website is part of National Chengchi University Institutional Repository. It provides free access to academic research and public education for non-commercial use. Please utilize it in a proper and reasonable manner and respect the rights of copyright owners. For commercial use, please obtain authorization from the copyright owner in advance.

2.本網站之製作，已盡力防止侵害著作權人之權益，如仍發現本網站之數位內容有侵害著作權人權益情事者，請權利人通知本網站維護人員(nccur@nccu.edu.tw)，維護人員將立即採取移除該數位著作等補救措施。
NCCU Institutional Repository is made to protect the interests of copyright owners. If you believe that any material on the website infringes copyright, please contact our staff(nccur@nccu.edu.tw). We will remove the work from the repository and investigate your claim.

Loading...