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Please use this identifier to cite or link to this item: https://ah.lib.nccu.edu.tw/handle/140.119/59437
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dc.contributor.advisor蔡炎龍zh_TW
dc.contributor.author張穎泓zh_TW
dc.creator張穎泓zh_TW
dc.date2012en_US
dc.date.accessioned2013-09-02T08:46:53Z-
dc.date.available2013-09-02T08:46:53Z-
dc.date.issued2013-09-02T08:46:53Z-
dc.identifierG1007510011en_US
dc.identifier.urihttp://nccur.lib.nccu.edu.tw/handle/140.119/59437-
dc.description碩士zh_TW
dc.description國立政治大學zh_TW
dc.description應用數學研究所zh_TW
dc.description100751001zh_TW
dc.description101zh_TW
dc.description.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\n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\n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\n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。\n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，\n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\n計算。zh_TW
dc.description.tableofcontents書名頁................i\n論文口試委員審定書......ii\n授權書................iii\n中文摘要..............iv\n英文摘要..............v\n誌謝.................vi\n目錄.................vii\n圖目錄................viii\n第一章、緒論...........1\n第二章、熱帶幾何........2\n第三章、古典定理........11\n第四章、圖形中的因子.....17\n第五章、熱帶幾何上的因子..25zh_TW
dc.format.extent2407792 bytes-
dc.format.mimetypeapplication/pdf-
dc.language.isoen_US-
dc.source.urihttp://thesis.lib.nccu.edu.tw/record/#G1007510011en_US
dc.subject熱帶幾何zh_TW
dc.title離散型熱帶曲線因子秩之計算zh_TW
dc.titleCalculating Rank of Discrete Divisors on Tropical Curvesen_US
dc.typethesisen
dc.relation.referenceOdagiri, Shinsuke , Tropical algebraic geometry ,Hokkaido Math. J. ,\nF Hokkaido Mathematical Journal , 38 , 2009 , 4 , 771--795 , 0385-4035 ,Hannah Markwig ,\n \nBaker, 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 ,\n\nBaker, Matthew , Specialization of linear systems from curves to graphs ,With an appendix by Brian Conrad , Algebra Number Theory ,F Algebra \\& Number Theory , 2 ,\n 2008 , 6 , 613--653 , 1937-0652 , 14C20 (05C99 14H51) ,\n\nGathmann, Andreas and Kerber, Michael ,R iemann-{R och theorem in tropical geometry ,\n Math. Z. ,F Mathematische Zeitschrift , 259 ,\n 2008 , 1 , 217--230 ,0025-5874 , MAZEAX ,\n 14C40 (14H99 51M20) ,\n\nMikhalkin, Grigory and Zharkov, Ilia , Tropical curves, their {J acobians and theta functions ,BOOK Curves and abelian varieties ,\n\nVoloshin, Vitaly I. , Introduction to graph theory ,PUBLISHER,Nova Science Publishers Inc. ,ADDRESS 2009 , 144 \n\n \nMikhalkin, Grigory , Enumerative tropical algebraic geometry in, J. Amer. Math. Soc. ,F Journal of the American Mathematical Society , 18 , 2005 , 2 , 313--377 , 0894-0347 ,\n \nCaporaso, Lucia and Harris, Joe , Counting plane curves of any genus , Invent. Math. ,F Inventiones Mathematicae , 131 , 1998 , 2 , 345--392 , 0020-9910 ,\n \nSpeyer, David and Sturmfels, Bernd , Tropical mathematics , Math. Mag. ,F Mathematics Magazine , 82 , 2009 , 3 , 163--173\n \nGao, 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 , \n \nFulton, William , Intersection theory ,SERIES ,Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge. A Series of Modern Surveys in Mathematics [Results in\nMathematics and Related Areas. 3rd Series. A Series of Modern Surveys in Mathematics] ,2 ,EDITION = {Second ,PUBLISHER = {Springer-Verlag ,\nADDRESS = {Berlin , 1998 , xiv+470 ,ISBN = {3-540-62046-X; 0-387-98549-2 ,\n\nRichter-Gebert, J{\\"u rgen and Sturmfels, Bernd and Theobald,\nThorsten , First steps in tropical geometry ,BOOK Idempotent mathematics and mathematical physics ,SERIES = {Contemp. Math. , 377 , 289--317 ,Amer. Math. Soc. ,{Providence, RI , 2005 , 14zh_TW
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