Please use this identifier to cite or link to this item: https://ah.lib.nccu.edu.tw/handle/140.119/94486
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dc.contributor.advisor蔡炎龍zh_TW
dc.contributor.author康立信zh_TW
dc.contributor.authorKang, Li Xinen_US
dc.creator康立信zh_TW
dc.creatorKang, Li Xinen_US
dc.date2007en_US
dc.date.accessioned2016-05-06T08:43:53Z-
dc.date.available2016-05-06T08:43:53Z-
dc.date.issued2016-05-06T08:43:53Z-
dc.identifierG0094972012en_US
dc.identifier.urihttp://nccur.lib.nccu.edu.tw/handle/140.119/94486-
dc.description碩士zh_TW
dc.description國立政治大學zh_TW
dc.description應用數學系zh_TW
dc.description94972012zh_TW
dc.description.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.zh_TW
dc.description.abstractIn 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.en_US
dc.description.abstract1.Introduction-----------------------------------p.1\r\n2.Motivation-------------------------------------p.3\r\n3.Properties of Tropical Geometry----------------p.27\r\n4.The Application: Enumerative Geometry----------p.36\r\n5.Tropical Geometry in R3------------------------p.49-
dc.description.tableofcontents1.Introduction-----------------------------------p.1\r\n2.Motivation-------------------------------------p.3\r\n3.Properties of Tropical Geometry----------------p.27\r\n4.The Application: Enumerative Geometry----------p.36\r\n5.Tropical Geometry in R3------------------------p.49zh_TW
dc.source.urihttp://thesis.lib.nccu.edu.tw/record/#G0094972012en_US
dc.subject熱帶幾何zh_TW
dc.title三維熱帶幾何之研究zh_TW
dc.titleOn Three Dimensional Tropical Geometryen_US
dc.typethesisen_US
dc.relation.reference1.Statistics of frameworks and motions of panel structures,a projective geometry introduction.\r\n2.Tropical algebraic geometry.(Gathmann)\r\n3.Welschinger invariant and enumeration of real rational curves.\r\n4.Tropical algebraic geometry.(Itenberg)\r\n5.First steps in tropical geometry.\r\n6.Counting plane curves of any genus.\r\n7.Non-archimedean amoebas and tropical varieties.\r\n8.Gromov-witten classes, quantum cohomology and enumerative geometry.\r\n9.Rational tropical curves in Rn.\r\n10.Amoebas of algebraic varieties and tropical geometry.\r\n11.Enumerative tropical algebraic geometry in R2.\r\n12.Patchworking singular algebraic curves, non-archimedean amoebas, and enumerative geometry.\r\n13.Dequantization of real algebraic geometry on logarithmic paper.\r\n14.Spinor states of real rational curves in real algebraic convex 3-manifolds and enumerative invariants.\r\n15.Invariant of real rational symplectic 4-manifolds and lower bounds in real enumerative geometry.zh_TW
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item.openairetypethesis-
item.openairecristypehttp://purl.org/coar/resource_type/c_46ec-
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