黎曼曲面和热带曲线的模空间导引（英文版） [Introduction to Moduli Spaces of Riemann Surfaces and Tropical Curves] epub pdf mobi txt 电子书 下载 2024

黎曼曲面和热带曲线的模空间导引（英文版） [Introduction to Moduli Spaces of Riemann Surfaces and Tropical Curves] epub pdf mobi txt 电子书 下载 2024

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黎曼曲面和热带曲线的模空间导引（英文版） [Introduction to Moduli Spaces of Riemann Surfaces and Tropical Curves] epub pdf mobi txt 电子书 下载 2024

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内容简介

　　黎曼曲面及其模空间的概念由黎曼分别在其博士毕业论文和一篇著名的文章中定义。由于与数学和物理的许多学科联系广泛，黎曼曲面及其模空间得到了深入的研究，并将继续吸引人们的关注。近期热带曲线的研究迅速崛起。热带代数曲线是经典复数域上代数曲线以及黎曼曲面在热带半环上的一种模拟。
　　《黎曼曲面和热带曲线的模空间导引（英文版）》深入浅出地介绍了以上几个重要数学分支，并且重点强调如代数几何、复几何、双曲几何、拓扑、几何群理论和数学物理等不同学科之间的关联。季理真是美国密歇根大学教授，研究兴趣涉及几何、拓扑和分析领域，以及这些领域之间的联系，喜欢阅读和写作，曾获得Sloan研究奖。
　　Eduard Looijenga是世界代数几何学家之一，荷兰皇家艺术和科学院院士，现任教于清华大学。

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前言/序言

　　analogy with locally symmetric spaces， which by definition are obtained as orbit space of symmetric spaces endowed with an action of an arithmetic group. This analogy， though imperfect， has been very fruitful in the past decades， as it suggested both problems and solutions.
　　As we mentioned， compact Riemann surfaces can also be regarded as algebraic curves over the complex numbers. In the past few years， there has been an explosion of work on their tropical counterparts， i.e.， algebraic curves over the tropical semifield. These have appeared in many unexpected topics and make currently a very active area of study. It turns out that the moduli spaces of tropical curves also fit into the above analogy，in the sense that these are the orbit spaces of tropical Teichmuller spaces by outer automorphism groups of free groups. The outer automorphism groups of free groups are among the most important groups in geometric group theory， and the tropical Teichmuller spaces were studied as spaces of marked metric graphs before the subject of tropical geometry （and its name） existed.
　　Given the rich history of Riemann surfaces and their moduli spaces， and their generalizations， applications and connections with other subjects， it seems helpful to provide an accessible and timely introduction to all the above topics， while emphasizing the underlying connections. The current book is an attempt towards this goal. It consists of two parts. The first part deals with mapping class groups of surfaces， Teichmuller spaces and their applications to moduli spaces of Riemann surfaces， whereas the second part deals with tropical analogues and some applications in geometric group theory. Though these parts were conceived independently， together they cover both basic and essential results in these subjects as well as some recent developments. Although there exist several works on some of the above topics， we hope and believe that the nature of the subject justifies our offering of our own perspective on this wonderful world.

黎曼曲面和热带曲线的模空间导引（英文版） [Introduction to Moduli Spaces of Riemann Surfaces and Tropical Curves] epub pdf mobi txt 电子书 下载 2024

黎曼曲面和热带曲线的模空间导引（英文版） [Introduction to Moduli Spaces of Riemann Surfaces and Tropical Curves] 下载 epub mobi pdf txt 电子书 2024

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送货非常快

评分☆☆☆☆☆

大牛的书。最近人在中国哦。所以买书的时候就折扣少？书是很不错，精装印刷。赞

评分☆☆☆☆☆

送货也很快，我很满意!开卷有益，读书好处多，陶冶情操，修身养性，还会再来的哦。一本书有一个故事，一个故事叙述一段人生，一段人生折射一个世界。“读万卷书，行万里路”说的正是这个道理。读诗使人高雅，读史使人明智。读每一本书都会有不同的收获。“悬梁刺股”、“萤窗映雪”，自古以来，勤奋读书，提升自我是每一个人的毕生追求。读书是一种最优雅的素质，能塑造人的精神，升华人的思想。

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Good

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塞尔先生大作，唯一一个获得三大奖的

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好

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学习参考书，希望有帮助。

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想有一本几何专题的书 好好学习

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很不错的书，数学经典，帮朋友买的

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