代數幾何中的拓撲方法 pdf epub mobi txt 電子書下載 2024

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Friedrich Hirzebruch

北京世界圖書齣版公司

2004-11

234

39.00元

Classics in Mathematics

9787506271875

圖書標籤: 代數幾何數學幾何與拓撲拓撲經典拓撲學大師代數幾何7

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发表于2024-05-03

代數幾何中的拓撲方法 epub 下載 mobi 下載 pdf 下載 txt 電子書下載 2024

代數幾何中的拓撲方法 pdf epub mobi txt 電子書下載 2024

圖書描述

In recent years new topological methods, especially the theory of sheaves founded by J. LERAY, have been applied successfully to algebraic geometry and to the theory of functions of several complex variables. H. CARTAN and J. -P. SERRE have shown how fundamental theorems on holomorphically complete manifolds (STEIN manifolds) can be for mulated in terms of sheaf theory. These theorems imply many facts of function theory because the domains of holomorphy are holomorphically complete. They can also be applied to algebraic geometry because the complement of a hyperplane section of an algebraic manifold is holo morphically complete. J. -P. SERRE has obtained important results on algebraic manifolds by these and other methods. Recently many of his results have been proved for algebraic varieties defined over a field of arbitrary characteristic. K. KODAIRA and D. C. SPENCER have also applied sheaf theory to algebraic geometry with great success. Their methods differ from those of SERRE in that they use techniques from differential geometry (harmonic integrals etc. ) but do not make any use of the theory of STEIN manifolds. M. F. ATIYAH and W. V. D. HODGE have dealt successfully with problems on integrals of the second kind on algebraic manifolds with the help of sheaf theory. I was able to work together with K. KODAIRA and D. C. SPENCER during a stay at the Institute for Advanced Study at Princeton from 1952 to 1954.

代數幾何中的拓撲方法下載 mobi epub pdf txt 電子書

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代數幾何中的拓撲方法 pdf epub mobi txt 電子書下載

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用戶評價

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Thom定理：低維閉流形是高維流形的邊緣（映射的像）那麼低維閉流形的不變量定義為高維流形的指標和龐特裏亞金類的多項式。Hirzebruch通過托姆配邊定理證明瞭流形的指標是龐特裏亞金類的多項式的假設，然後就得到瞭高維的黎曼羅赫定理。格羅滕迪剋代數化瞭這個定理得到瞭簇間的黎曼羅赫定理（簇間映射分解為投影和嵌入的形變）。博特和阿蒂亞通過整性概念的引導藉鑒瞭Lefschetz 復解析流形不動點定理，得到瞭李群外爾特徵公式

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