Topological Methods in Algebraic Geometry (Classics in Mathematics) 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Friedrich Hirzebruch 作者

Springer

译者

1995-02-24 出版日期

252 页数

USD 49.95 价格

Paperback

Classics in Mathematics 丛书系列

9783540586630 图书编码

Topological Methods in Algebraic Geometry (Classics in Mathematics) 在线电子书图书标签: 数学拓扑几何數學德国微分拓扑7 代数几何 math

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Topological Methods in Algebraic Geometry (Classics in Mathematics) 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

Topological Methods in Algebraic Geometry (Classics in Mathematics) 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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黎曼罗赫定理的拓广：从因子和线丛的等价，推广到向量丛，有了向量丛就有了示性类这样的上同调不变量，而Tod类与伯努利多项式相关；除子开始是与单变量代数函数相关联，所以任何人初读除子理论总有一种突然来的的感觉

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Topological Methods in Algebraic Geometry (Classics in Mathematics) 在线电子书著者简介

Topological Methods in Algebraic Geometry (Classics in Mathematics) 在线电子书图书目录

Topological Methods in Algebraic Geometry (Classics in Mathematics) 在线电子书 pdf 下载 txt下载 epub 下载 mobi 在线电子书下载

Topological Methods in Algebraic Geometry (Classics in Mathematics) 在线电子书图书描述

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.

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