政大機構典藏-National Chengchi University Institutional Repository(NCCUR):Item 140.119/94486
English  |  正體中文  |  简体中文  |  Post-Print筆數 : 27 |  Items with full text/Total items : 113451/144438 (79%)
Visitors : 51347156      Online Users : 724
RC Version 6.0 © Powered By DSPACE, MIT. Enhanced by NTU Library IR team.
Scope Tips:
  • please add "double quotation mark" for query phrases to get precise results
  • please goto advance search for comprehansive author search
    •  Adv. Search
    Home ‧ Login ‧ Upload ‧ Help ‧ About ‧ Administer Goto mobile version


    Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/94486


    Title: 三維熱帶幾何之研究
    On Three Dimensional Tropical Geometry
    Authors: 康立信
    Kang, Li Xin
    Contributors: 蔡炎龍
    康立信
    Kang, Li Xin
    Keywords: 熱帶幾何
    Date: 2007
    Issue Date: 2016-05-06 16:43:53 (UTC+8)
    Abstract: 在這篇論文裡,我們主要在探討熱帶幾何的基本性質並研究熱帶幾何近來的發展,特別是Mikhalkin計算曲線個數的方法.最後,我們簡短的討論熱帶幾何在三維的一些情況.
    In this thesis, we study the properties of tropical geometry and survey the recent development of tropical geometry, especially Mikhalkin`s method of counting curves. We also briefly study tropical geometry in three-dimensional case.
    1.Introduction-----------------------------------p.1
    2.Motivation-------------------------------------p.3
    3.Properties of Tropical Geometry----------------p.27
    4.The Application: Enumerative Geometry----------p.36
    5.Tropical Geometry in R3------------------------p.49
    Reference: 1.Statistics of frameworks and motions of panel structures,a projective geometry introduction.
    2.Tropical algebraic geometry.(Gathmann)
    3.Welschinger invariant and enumeration of real rational curves.
    4.Tropical algebraic geometry.(Itenberg)
    5.First steps in tropical geometry.
    6.Counting plane curves of any genus.
    7.Non-archimedean amoebas and tropical varieties.
    8.Gromov-witten classes, quantum cohomology and enumerative geometry.
    9.Rational tropical curves in Rn.
    10.Amoebas of algebraic varieties and tropical geometry.
    11.Enumerative tropical algebraic geometry in R2.
    12.Patchworking singular algebraic curves, non-archimedean amoebas, and enumerative geometry.
    13.Dequantization of real algebraic geometry on logarithmic paper.
    14.Spinor states of real rational curves in real algebraic convex 3-manifolds and enumerative invariants.
    15.Invariant of real rational symplectic 4-manifolds and lower bounds in real enumerative geometry.
    Description: 碩士
    國立政治大學
    應用數學系
    94972012
    Source URI: http://thesis.lib.nccu.edu.tw/record/#G0094972012
    Data Type: thesis
    Appears in Collections:[Department of Mathematical Sciences] Theses

    Files in This Item:

    File SizeFormat
    index.html0KbHTML2259View/Open


    All items in 政大典藏 are protected by copyright, with all rights reserved.


    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.
    DSpace Software Copyright © 2002-2004  MIT &  Hewlett-Packard  /   Enhanced by   NTU Library IR team Copyright ©   - Feedback