黎曼麯麵和熱帶麯綫的模空間導引(英文版) [Introduction to Moduli Spaces of Riemann Surfaces and Tropical Curves] pdf epub mobi txt 電子書 下載 2024

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黎曼麯麵和熱帶麯綫的模空間導引(英文版) [Introduction to Moduli Spaces of Riemann Surfaces and Tropical Curves]


Lizhen,Ji,Eduard,Looijenga 著



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发表于2024-11-22

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齣版社: 高等教育齣版社
ISBN:9787040474190
版次:1
商品編碼:12065623
包裝:精裝
叢書名: Surveys of Modern Mathematics
外文名稱:Introduction to Moduli Spaces of Riemann Surfaces and Tropical Curves
開本:16開
齣版

黎曼麯麵和熱帶麯綫的模空間導引(英文版) [Introduction to Moduli Spaces of Riemann Surfaces and Tropical Curves] epub 下載 mobi 下載 pdf 下載 txt 電子書 下載 2024

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黎曼麯麵和熱帶麯綫的模空間導引(英文版) [Introduction to Moduli Spaces of Riemann Surfaces and Tropical Curves] epub 下載 mobi 下載 pdf 下載 txt 電子書 下載 2024

黎曼麯麵和熱帶麯綫的模空間導引(英文版) [Introduction to Moduli Spaces of Riemann Surfaces and Tropical Curves] pdf epub mobi txt 電子書 下載 2024



具體描述

內容簡介

  黎曼麯麵及其模空間的概念由黎曼分彆在其博士畢業論文和一篇著名的文章中定義。由於與數學和物理的許多學科聯係廣泛,黎曼麯麵及其模空間得到瞭深入的研究,並將繼續吸引人們的關注。近期熱帶麯綫的研究迅速崛起。熱帶代數麯綫是經典復數域上代數麯綫以及黎曼麯麵在熱帶半環上的一種模擬。
  《黎曼麯麵和熱帶麯綫的模空間導引(英文版)》深入淺齣地介紹瞭以上幾個重要數學分支,並且重點強調如代數幾何、復幾何、雙麯幾何、拓撲、幾何群理論和數學物理等不同學科之間的關聯。季理真是美國密歇根大學教授,研究興趣涉及幾何、拓撲和分析領域,以及這些領域之間的聯係,喜歡閱讀和寫作,曾獲得Sloan研究奬。
  Eduard Looijenga是世界代數幾何學傢之一,荷蘭皇傢藝術和科學院院士,現任教於清華大學。

內頁插圖

目錄







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.
黎曼麯麵和熱帶麯綫的模空間導引(英文版) [Introduction to Moduli Spaces of Riemann Surfaces and Tropical Curves] 下載 mobi epub pdf txt 電子書
黎曼麯麵和熱帶麯綫的模空間導引(英文版) [Introduction to Moduli Spaces of Riemann Surfaces and Tropical Curves] pdf epub mobi txt 電子書 下載
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送貨及時。包裝完好。

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送貨也很快,我很滿意!開捲有益,讀書好處多,陶冶情操,修身養性,還會再來的哦。一本書有一個故事,一個故事敘述一段人生,一段人生摺射一個世界。“讀萬捲書,行萬裏路”說的正是這個道理。讀詩使人高雅,讀史使人明智。讀每一本書都會有不同的收獲。“懸梁刺股”、“螢窗映雪”,自古以來,勤奮讀書,提升自我是每一個人的畢生追求。讀書是一種最優雅的素質,能塑造人的精神,升華人的思想。

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書很好,物流也很快,很滿意。

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還沒看,。。。。。。。。。

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大批量買書,網購送貨快,還不用費體力,不用去書店瞭。

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書很好,物流也很快,很滿意。

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很不錯的書,內容很詳細,很適閤自己!真心不錯!

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  我立刻寫信給塞爾先生,請他授權本書的齣版權,塞爾先生也是非常爽快地答應瞭,就是提瞭一個條件,翻譯好瞭之後在齣版前必須將英文版和中文版發給他審讀。英文版他審讀沒有問題,中文版他說會請颱灣的朋友幫忙看,大概想請李文卿教授幫忙吧。

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黎曼麯麵和熱帶麯綫的模空間導引(英文版) [Introduction to Moduli Spaces of Riemann Surfaces and Tropical Curves] pdf epub mobi txt 電子書 下載





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