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    政大機構典藏 > 理學院 > 應用數學系 > 學位論文 >  Item 140.119/59437
    Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/59437


    Title: 離散型熱帶曲線因子秩之計算
    Calculating Rank of Discrete Divisors on Tropical Curves
    Authors: 張穎泓
    Contributors: 蔡炎龍
    張穎泓
    Keywords: 熱帶幾何
    Date: 2012
    Issue Date: 2013-09-02 16:46:53 (UTC+8)
    Abstract: 本篇論文主要是在討論熱帶曲線上,離散型的因子應具備有哪些性質,而在討論
    熱帶曲線上因子的性質時,我們會發現到致的計算,在低次熱帶曲線上,或是
    因子本身的係數總和高時,並不是太困難。但再高次的熱帶曲線上,致的計算
    就成線的極其繁雜,因此我們想要藉由在熱帶曲線上離散型的來幫助我們計算。
    最後我們可以得到的結論是,若C是一平滑的熱帶曲線,則C上因子的致,
    將會受到C的虧格所限制,大幅的簡化了我們在離散型熱帶曲線因子致的
    計算。
    Reference: Odagiri, Shinsuke , Tropical algebraic geometry ,Hokkaido Math. J. ,
    F Hokkaido Mathematical Journal , 38 , 2009 , 4 , 771--795 , 0385-4035 ,Hannah Markwig ,

    Baker, Matthew and Norine, Serguei , Riemann-{R och and {A bel-{J acobi theory on a finite graph , Adv. Math. ,F Advances in Mathematics , 215 , 2007 , 2 , 766--788 ,Tatiana Smirnova-Nagnibeda ,

    Baker, Matthew , Specialization of linear systems from curves to graphs ,With an appendix by Brian Conrad , Algebra Number Theory ,F Algebra \\& Number Theory , 2 ,
    2008 , 6 , 613--653 , 1937-0652 , 14C20 (05C99 14H51) ,

    Gathmann, Andreas and Kerber, Michael ,R iemann-{R och theorem in tropical geometry ,
    Math. Z. ,F Mathematische Zeitschrift , 259 ,
    2008 , 1 , 217--230 ,0025-5874 , MAZEAX ,
    14C40 (14H99 51M20) ,

    Mikhalkin, Grigory and Zharkov, Ilia , Tropical curves, their {J acobians and theta functions ,BOOK Curves and abelian varieties ,

    Voloshin, Vitaly I. , Introduction to graph theory ,PUBLISHER,Nova Science Publishers Inc. ,ADDRESS 2009 , 144


    Mikhalkin, Grigory , Enumerative tropical algebraic geometry in, J. Amer. Math. Soc. ,F Journal of the American Mathematical Society , 18 , 2005 , 2 , 313--377 , 0894-0347 ,

    Caporaso, Lucia and Harris, Joe , Counting plane curves of any genus , Invent. Math. ,F Inventiones Mathematicae , 131 , 1998 , 2 , 345--392 , 0020-9910 ,

    Speyer, David and Sturmfels, Bernd , Tropical mathematics , Math. Mag. ,F Mathematics Magazine , 82 , 2009 , 3 , 163--173

    Gao, S. and Lauder, A. G. B. , Decomposition of polytopes and polynomials , Discrete Comput. Geom. ,F Discrete \\& Computational Geometry. An International Journal,of Mathematics and Computer Science , 26 , 2001 , 1 , 89--104 , 0179-5376 , DCGEER ,

    Fulton, William , Intersection theory ,SERIES ,Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge. A Series of Modern Surveys in Mathematics [Results in
    Mathematics and Related Areas. 3rd Series. A Series of Modern Surveys in Mathematics] ,2 ,EDITION = {Second ,PUBLISHER = {Springer-Verlag ,
    ADDRESS = {Berlin , 1998 , xiv+470 ,ISBN = {3-540-62046-X; 0-387-98549-2 ,

    Richter-Gebert, J{\\"u rgen and Sturmfels, Bernd and Theobald,
    Thorsten , First steps in tropical geometry ,BOOK Idempotent mathematics and mathematical physics ,SERIES = {Contemp. Math. , 377 , 289--317 ,Amer. Math. Soc. ,{Providence, RI , 2005 , 14
    Description: 碩士
    國立政治大學
    應用數學研究所
    100751001
    101
    Source URI: http://thesis.lib.nccu.edu.tw/record/#G1007510011
    Data Type: thesis
    Appears in Collections:[應用數學系] 學位論文

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