Complex Abelian varieties (Record no. 2466)

000 -LEADER
fixed length control field 02400nam a22002417a 4500
003 - CONTROL NUMBER IDENTIFIER
control field OSt
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20241127123136.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 190302b ||||| |||| 00| 0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9783540204886
040 ## - CATALOGING SOURCE
Transcribing agency Educational Supplies
Original cataloging agency ICTS-TIFR
050 ## - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA564
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Christina Birkenhake
245 ## - TITLE STATEMENT
Title Complex Abelian varieties
Remainder of title : second edition
250 ## - EDITION STATEMENT
Edition statement 2nd ed.
260 ## - PUBLICATION, DISTRIBUTION, ETC.
Place of publication, distribution, etc. Heidelberg:
Name of publisher, distributor, etc. Springer-Verlag,
Date of publication, distribution, etc. [c1980]
300 ## - Physical Description
Pages: 635 p
490 ## - SERIES STATEMENT
Series statement Grundlehren der mathematischen Wissenschaften
Volume/sequential designation Vol. 302
505 ## - FORMATTED CONTENTS NOTE
Formatted contents note 1. Introduction<br/>2. Notation<br/>3. Complex Tori<br/>4. Line Bundles on Complex Tori<br/>5. Cohomology of Line Bundles<br/>6. Abelian Varieties<br/>7. Endomorphisms of Abelian Varieties<br/>8. Theta and Heisenberg Groups<br/>9. Equations for Abelian Varieties<br/>10. Moduli<br/>11. Moduli Spaces of Abelian Varieties with Endomorphism Structure<br/>12. Abelian Surfaces<br/>13. Jacobian Varieties<br/>14. Prym Varieties<br/>15. Automorphisms<br/>16. Vector bundles on Abelian Varieties<br/>17. Further Results on Line Bundles an the Theta Divisor<br/>18. Cycles on Abelian varieties<br/>19. The Hodge Conjecture for General Abelian and Jacobian Varieties
520 ## - SUMMARY, ETC.
Summary, etc. Abelian varieties are special examples of projective varieties. As such they can be described by a set of homogeneous polynomial equations. The theory of abelian varieties originated in the beginning of the ninetheenth centrury with the work of Abel and Jacobi. The subject of this book is the theory of abelian varieties over the field of complex numbers, and it covers the main results of the theory, both classic and recent, in modern language. It is intended to give a comprehensive introduction to the field, but also to serve as a reference. The focal topics are the projective embeddings of an abelian variety, their equations and geometric properties. Moreover several moduli spaces of abelian varieties with additional structure are constructed. Some special results onJacobians and Prym varieties allow applications to the theory of algebraic curves. The main tools for the proofs are the theta group of a line bundle, introduced by Mumford, and the characteristics, to be associated to any nondegenerate line bundle. They are a direct generalization of the classical notion of characteristics of theta functions. --- summary provided by publisher
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Mathematics
700 ## - ADDED ENTRY--PERSONAL NAME
Personal name Herbert Lange
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme
Koha item type Book
Holdings
Withdrawn status Lost status Damaged status Not for loan Collection code Home library Shelving location Date acquired Full call number Accession No. Koha item type
          ICTS Rack No 6 03/02/2019 QA564 01803 Book