Topological Methods in Algebraic Geometry (Classics in Mathematics)

出版者:Springer

作者:Friedrich Hirzebruch

页数:252

出版时间:1995-02-24

价格:USD 49.95

装帧:Paperback

isbn号码:9783540586630

丛书系列:Classics in Mathematics

图书标签:数学拓扑几何數學德国微分拓扑7代数几何math

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.

用户评价

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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

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

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

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