Topological Methods in Algebraic Geometry

Author:   Friedrich Hirzebruch ,  A. Borel ,  Rolph Ludwig Edgar Schwarzenberger
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Edition:   3rd ed. 1966. Softcover reprint of the original 3rd ed. 1966
ISBN:  

9783662306307


Pages:   232
Publication Date:   01 January 1966
Format:   Paperback
Availability:   In stock   Availability explained
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Topological Methods in Algebraic Geometry


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Overview

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.

Full Product Details

Author:   Friedrich Hirzebruch ,  A. Borel ,  Rolph Ludwig Edgar Schwarzenberger
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   3rd ed. 1966. Softcover reprint of the original 3rd ed. 1966
Dimensions:   Width: 15.20cm , Height: 1.30cm , Length: 22.90cm
Weight:   0.368kg
ISBN:  

9783662306307


ISBN 10:   3662306301
Pages:   232
Publication Date:   01 January 1966
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In stock   Availability explained
We have confirmation that this item is in stock with the supplier. It will be ordered in for you and dispatched immediately.

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