Heegner modules and elliptic curves / (Record no. 387750)

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control field ocn162128282
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control field 20200626133010.0
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007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
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008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 040517s2004 gw ob 001 0 eng c
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Original cataloging agency COO
Language of cataloging eng
Description conventions pn
Transcribing agency COO
Modifying agency BUF
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019 ## -
-- 224264760
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020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9783540444756
Qualifying information (electronic bk.)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 3540444750
Qualifying information (electronic bk.)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Canceled/invalid ISBN 3540222901
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Canceled/invalid ISBN 9783540222903
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code 10.1007/b98488
Source of number or code doi
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OCLC library identifier AU@
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OCLC library identifier NZ1
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OCLC library identifier NZ1
System control number 15297073
035 ## - SYSTEM CONTROL NUMBER
System control number (OCoLC)162128282
Canceled/invalid control number (OCoLC)224264760
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042 ## - AUTHENTICATION CODE
Authentication code pcc
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA3
Item number .L28 no. 1849
Classification number QA567.2.E44
072 #7 - SUBJECT CATEGORY CODE
Subject category code PBH
Source bicssc
072 #7 - SUBJECT CATEGORY CODE
Subject category code MAT022000
Source bisacsh
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 510 s
-- 516.3/52
Edition number 22
049 ## - LOCAL HOLDINGS (OCLC)
Holding library MAIN
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Brown, M. L.
Fuller form of name (Martin L.)
9 (RLIN) 70606
245 10 - TITLE STATEMENT
Title Heegner modules and elliptic curves /
Statement of responsibility, etc. M. [Martin] L. Brown.
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication, distribution, etc. Berlin ;
-- New York :
Name of publisher, distributor, etc. Springer,
Date of publication, distribution, etc. ©2004.
300 ## - PHYSICAL DESCRIPTION
Extent 1 online resource (x, 517 pages)
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Content type term text
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Media type term computer
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Carrier type term online resource
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File type text file
Encoding format PDF
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490 1# - SERIES STATEMENT
Series statement Lecture notes in mathematics,
International Standard Serial Number 0075-8434 ;
Volume/sequential designation 1849
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc Includes bibliographical references (pages 507-510) and index.
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Preface -- Introduction -- Preliminaries -- Bruhat-Tits trees with complex multiplication -- Heegner sheaves -- The Heegner module -- Cohomology of the Heegner module -- Finiteness of the Tate-Shafarevich groups -- Appendix A.: Rigid analytic modular forms -- Appendix B.: Automorphic forms and elliptic curves over function fields -- References -- Index.
520 ## - SUMMARY, ETC.
Summary, etc. Heegner points on both modular curves and elliptic curves over global fields of any characteristic form the topic of this research monograph. The Heegner module of an elliptic curve is an original concept introduced in this text. The computation of the cohomology of the Heegner module is the main technical result and is applied to prove the Tate conjecture for a class of elliptic surfaces over finite fields; this conjecture is equivalent to the Birch and Swinnerton-Dyer conjecture for the corresponding elliptic curves over global fields.
546 ## - LANGUAGE NOTE
Language note English.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Curves, Elliptic.
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Topical term or geographic name as entry element Algebraic fields.
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Topical term or geographic name as entry element Homology theory.
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650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Algebraic fields.
Source of heading or term fast
Authority record control number (OCoLC)fst00804931
9 (RLIN) 4808
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Curves, Elliptic.
Source of heading or term fast
Authority record control number (OCoLC)fst00885455
9 (RLIN) 5029
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Homology theory.
Source of heading or term fast
Authority record control number (OCoLC)fst00959720
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776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information Print version:
Main entry heading Brown, M.L. (Martin L.).
Title Heegner modules and elliptic curves.
Place, publisher, and date of publication Berlin ; New York : Springer, ©2004
International Standard Book Number 3540222901
Record control number (DLC) 2004107464
-- (OCoLC)56014403
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Lecture notes in mathematics (Springer-Verlag) ;
Volume number/sequential designation 1849.
9 (RLIN) 70609
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://link-springer-com.libraryproxy.ist.ac.at/10.1007/b98488">https://link-springer-com.libraryproxy.ist.ac.at/10.1007/b98488</a>
938 ## -
-- ProQuest Ebook Central
-- EBLB
-- EBL5585016
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-- 92
-- ATIST
Holdings
Withdrawn status Lost status Damaged status Not for loan Collection code Permanent Location Current Location Date acquired Date last seen Price effective from Koha item type
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