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Topological methods in algebraic geometry (Record no. 34993)

MARC details
000 -LEADER
fixed length control field 02655nam a22003497a 4500
003 - CONTROL NUMBER IDENTIFIER
control field OSt
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20240511154622.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 240510b |||||||| |||| 00| 0 hin d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9783540586630
040 ## - CATALOGING SOURCE
Original cataloging agency NISER LIBRARY
Language of cataloging eng
Transcribing agency NISER LIBRARY
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 512.7
Item number HIR-T
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Hirzebruch, Friedrich
245 ## - TITLE STATEMENT
Title Topological methods in algebraic geometry
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication, distribution, etc. New York :
Name of publisher, distributor, etc. Springer- Verlag,
Date of publication, distribution, etc. 1995.
300 ## - PHYSICAL DESCRIPTION
Extent ix, 234p. ;
Dimensions 24 cm.
490 ## - SERIES STATEMENT
Series statement Classics in mathematics
International Standard Serial Number 1431-0821
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc Includes bibliographical references (p. [218]-225) and index.
520 ## - SUMMARY, ETC.
Summary, etc. 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.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Geometry, Algebraic.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Algebraic topology.
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Riemann-Roch theorem
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Algebraic varieties
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Cohomology
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Vector bundle
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Corbordism ring
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Homology
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Todd genus
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Topological methods
856 ## - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://link.springer.com/book/10.1007/978-3-642-62018-8#toc">https://link.springer.com/book/10.1007/978-3-642-62018-8#toc</a>
Materials specified Table of contents
856 ## - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://www.goodreads.com/book/show/2585236-topological-methods-in-algebraic-geometry?from_search=true&from_srp=true&qid=xU8dcxz1Fy&rank=1#CommunityReviews">https://www.goodreads.com/book/show/2585236-topological-methods-in-algebraic-geometry?from_search=true&from_srp=true&qid=xU8dcxz1Fy&rank=1#CommunityReviews</a>
Materials specified Reviews
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme Universal Decimal Classification
Koha item type Book
Holdings
Withdrawn status Lost status Source of classification or shelving scheme Damaged status Not for loan Home library Current library Date acquired Source of acquisition Total Checkouts Full call number Barcode Date last seen Price effective from Koha item type
    Universal Decimal Classification     SMS Library SMS Library 24/04/2024 Order No. NISER/LIB/BK/PO/2023-24/29, Dt. 12/03/2024; CBS Publishers & Distributors; Invoice No. COR/IN/25/332, Dt 08/04/2024   512.7 HIR-T 25165 10/05/2024 10/05/2024 Book
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