Curves and Abelian Varieties. (Record no. 136270)
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000 -LEADER | |
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fixed length control field | 04029nam a22004933i 4500 |
001 - CONTROL NUMBER | |
control field | EBC5295221 |
003 - CONTROL NUMBER IDENTIFIER | |
control field | MiAaPQ |
005 - DATE AND TIME OF LATEST TRANSACTION | |
control field | 20240729131757.0 |
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
fixed length control field | m o d | |
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
fixed length control field | cr cnu|||||||| |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
fixed length control field | 240724s2008 xx o ||||0 eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
International Standard Book Number | 9780821881446 |
Qualifying information | (electronic bk.) |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
Canceled/invalid ISBN | 9780821843345 |
035 ## - SYSTEM CONTROL NUMBER | |
System control number | (MiAaPQ)EBC5295221 |
035 ## - SYSTEM CONTROL NUMBER | |
System control number | (Au-PeEL)EBL5295221 |
035 ## - SYSTEM CONTROL NUMBER | |
System control number | (OCoLC)1037818260 |
040 ## - CATALOGING SOURCE | |
Original cataloging agency | MiAaPQ |
Language of cataloging | eng |
Description conventions | rda |
-- | pn |
Transcribing agency | MiAaPQ |
Modifying agency | MiAaPQ |
050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
Classification number | QA565 .C87 2008 |
082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER | |
Classification number | 516.3/52 |
100 1# - MAIN ENTRY--PERSONAL NAME | |
Personal name | Alexeev, Valery. |
245 10 - TITLE STATEMENT | |
Title | Curves and Abelian Varieties. |
250 ## - EDITION STATEMENT | |
Edition statement | 1st ed. |
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
Place of production, publication, distribution, manufacture | Providence : |
Name of producer, publisher, distributor, manufacturer | American Mathematical Society, |
Date of production, publication, distribution, manufacture, or copyright notice | 2008. |
264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
Date of production, publication, distribution, manufacture, or copyright notice | ©2008. |
300 ## - PHYSICAL DESCRIPTION | |
Extent | 1 online resource (290 pages) |
336 ## - CONTENT TYPE | |
Content type term | text |
Content type code | txt |
Source | rdacontent |
337 ## - MEDIA TYPE | |
Media type term | computer |
Media type code | c |
Source | rdamedia |
338 ## - CARRIER TYPE | |
Carrier type term | online resource |
Carrier type code | cr |
Source | rdacarrier |
490 1# - SERIES STATEMENT | |
Series statement | Contemporary Mathematics Series ; |
Volume/sequential designation | v.465 |
505 0# - FORMATTED CONTENTS NOTE | |
Formatted contents note | Intro -- Contents -- Preface -- List of talks -- Compactified Jacobians, Abel maps and Theta divisors -- 1. Introduction -- 2. Compactified Picard schemes -- 2.1. Set up -- 2.2. Relation between Picard scheme and Néron model -- 2.3. Types of Compactified Picard schemes -- 2.4. The case d = g - 1 -- 3. Abel maps and Theta divisors -- 3.1. Preliminary analysis -- 3.2. Abel maps in degree g - 1 -- 3.3. Abel maps of arbitrary degree -- 3.4. The theta divisor of Pg-1X -- References -- Singularities of theta divisors in algebraic geometry -- The diagonal property for abelian varieties -- On isogenous principally polarized abelian surfaces -- Néron models and boundary components for degenerations of Hodge structure of mirror quintic type -- Introduction -- Part I: Hodge-theoretic analysis -- I.A. Notations and general background -- I.B. Integral symplectic linear algebra background -- I.C. Analysis of the LMHS in the three cases -- Part II. Boundary component structure -- II.A. Review of material from [KU] -- II.B. Boundary component structure for degenerations of Hodge structure of mirror quintic type -- Part III: Geometric setting -- lII.A Examples of the three cases arising from degenerations of Calabi-Yau threefolds -- III.B Towards motivation of the limiting mixed Hodge structure -- Part IV: Frenet framing of complex variations of quintic mirror Hodge structures -- Polarization Type of Isogenous Prym-Tyurin Varieties -- A tour of theta dualities on moduli spaces of sheaves -- Tropical curves, their Jacobians and Theta functions -- Logarithmic interpretation of the main component in toric Hilbert schemes -- On the Universal Principally Polarized Abelian Variety of Dimension 4. |
520 ## - SUMMARY, ETC. | |
Summary, etc. | This book is devoted to recent progress in the study of curves and abelian varieties. It discusses both classical aspects of this deep and beautiful subject as well as two important new developments, tropical geometry and the theory of log schemes. In addition to original research articles, this book contains three surveys devoted to singularities of theta divisors, of compactified Jacobians of singular curves, and of "strange duality" among moduli spaces of vector bundles on algebraic varieties. |
588 ## - SOURCE OF DESCRIPTION NOTE | |
Source of description note | Description based on publisher supplied metadata and other sources. |
590 ## - LOCAL NOTE (RLIN) | |
Local note | Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name entry element | Curves, Algebraic-Congresses. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name entry element | Abelian varieties-Congresses. |
655 #4 - INDEX TERM--GENRE/FORM | |
Genre/form data or focus term | Electronic books. |
700 1# - ADDED ENTRY--PERSONAL NAME | |
Personal name | Beauville, Arnaud. |
700 1# - ADDED ENTRY--PERSONAL NAME | |
Personal name | Clemens, C. Herbert. |
700 1# - ADDED ENTRY--PERSONAL NAME | |
Personal name | Beauville, Arnaud. |
776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
Relationship information | Print version: |
Main entry heading | Alexeev, Valery |
Title | Curves and Abelian Varieties |
Place, publisher, and date of publication | Providence : American Mathematical Society,c2008 |
International Standard Book Number | 9780821843345 |
797 2# - LOCAL ADDED ENTRY--CORPORATE NAME (RLIN) | |
Corporate name or jurisdiction name as entry element | ProQuest (Firm) |
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
Uniform title | Contemporary Mathematics Series |
856 40 - ELECTRONIC LOCATION AND ACCESS | |
Uniform Resource Identifier | <a href="https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=5295221">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=5295221</a> |
Public note | Click to View |
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