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Library,Documentation and Information Science Division

“A research journal serves that narrow

borderland which separates the known from the unknown”

-P.C.Mahalanobis


Introduction to complex manifolds / (Record no. 447265)

MARC details
000 -LEADER
fixed length control field 02027nam a2200277 i 4500
003 - CONTROL NUMBER IDENTIFIER
control field ISI Library, Kolkata
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20260511153337.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 260511b |||||||| |||| 00| 0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781470477820
040 ## - CATALOGING SOURCE
Original cataloging agency ISI Library
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Edition number 23
Classification number 515.946
Item number L477
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Lee, John M.,
Relator term author.
245 10 - TITLE STATEMENT
Title Introduction to complex manifolds /
Statement of responsibility, etc John M. Lee.
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication, distribution, etc Providence, Rhode Island :
Name of publisher, distributor, etc American Mathematical Society,
Date of publication, distribution, etc 2024.
300 ## - PHYSICAL DESCRIPTION
Extent xvii, 361 pages :
Other physical details illustrations ;
Dimensions 26 cm
490 0# - SERIES STATEMENT
Series statement Graduate studies in mathematics ;
Volume number/sequential designation 244
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc Includes bibliographical references and index.
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note The basics -- Complex submanifolds -- Holomorphic vector bundles -- The Dolbeault complex -- Sheaves -- Sheaf cohomology -- Connections -- Hermitian and Kähler manifolds -- Hodge theory -- The Kodaira embedding theorem.
520 ## - SUMMARY, ETC.
Summary, etc This graduate-level textbook provides a comprehensive introduction to the theory of complex manifolds from the perspective of differential geometry. Beginning with the foundations of smooth and complex manifolds, the book develops the essential concepts, techniques, and structures used in modern complex geometry, including holomorphic maps, complex submanifolds, vector bundles, Dolbeault cohomology, sheaf theory, Hermitian and Kähler geometry, Hodge theory, and the Kodaira embedding theorem. Emphasizing intuition together with mathematical rigor, the author explains how analytic, topological, and geometric ideas interact in the study of complex manifolds. Numerous examples, exercises, and detailed proofs make the text suitable for graduate students and researchers seeking an accessible yet advanced treatment of complex geometry and its applications in differential geometry, algebraic geometry, topology, and mathematical physics.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Complex manifolds.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Differential geometry.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Complex analysis.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Kähler manifolds.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Algebraic geometry.
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type Books
Source of classification or shelving scheme Dewey Decimal Classification
Holdings
Lost status Not for loan Home library Current library Date acquired Source of acquisition Cost, normal purchase price Full call number Accession Number Koha item type
    ISI Library, Kolkata ISI Library, Kolkata 06/03/2026 588 6313.75 515.946 L477 138836 Books
Library, Documentation and Information Science Division, Indian Statistical Institute, 203 B T Road, Kolkata 700108, INDIA
Phone no. 91-33-2575 2100, Fax no. 91-33-2578 1412, ksatpathy@isical.ac.in