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 |