MARC details
| 000 -LEADER |
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| fixed length control field |
04968cam a2200505 i 4500 |
| 001 - CONTROL NUMBER |
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| control field |
on1322810604 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
OCoLC |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20230706154121.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
220603t20222022sz a b 001 0 eng d |
| 015 ## - NATIONAL BIBLIOGRAPHY NUMBER |
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| National bibliography number |
GBC2C7494 |
| Source |
bnb |
| 016 7# - NATIONAL BIBLIOGRAPHIC AGENCY CONTROL NUMBER |
|---|
| Record control number |
020683946 |
| Source |
Uk |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9783031101441 |
| Qualifying information |
(pbk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| International Standard Book Number |
3031101448 |
| Qualifying information |
(pbk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| Canceled/invalid ISBN |
9783031101458 |
| Qualifying information |
(eBook) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| Canceled/invalid ISBN |
3031101456 |
| Qualifying information |
(eBook) |
| 029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC) |
|---|
| OCLC library identifier |
UKMGB |
| System control number |
020683946 |
| 029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC) |
|---|
| OCLC library identifier |
AU@ |
| System control number |
000073450085 |
| 035 ## - SYSTEM CONTROL NUMBER |
|---|
| System control number |
(OCoLC)1322810604 |
| 040 ## - CATALOGING SOURCE |
|---|
| Original cataloging agency |
YDX |
| Language of cataloging |
eng |
| Description conventions |
rda |
| Transcribing agency |
YDX |
| 066 ## - CHARACTER SETS PRESENT |
|---|
| Alternate G0 or G1 character set |
(S |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
516.35 |
| 090 ## - IMPA CODE FOR CLASSIFICATION SHELVES |
|---|
| IMPA CODE FOR CLASSIFICATION SHELVES |
Coleções de Monografias. |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Lange, H. |
| Fuller form of name |
(Herbert), |
| Dates associated with a name |
1943- |
| Relator term |
author. |
| 9 (RLIN) |
33742 |
| 245 10 - TITLE STATEMENT |
|---|
| Title |
Decomposition of Jacobians by Prym varieties / |
| Statement of responsibility, etc. |
Herbert Lange, Rubí E. Rodríguez. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
|---|
| Place of production, publication, distribution, manufacture |
Cham, Switzerland : |
| Name of producer, publisher, distributor, manufacturer |
Springer Nature Switzerland AG, |
| Date of production, publication, distribution, manufacture, or copyright notice |
[2022] |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
|---|
| Date of production, publication, distribution, manufacture, or copyright notice |
©2022 |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
xiii, 251 pages : |
| Other physical details |
illustrations ; |
| Dimensions |
24 cm. |
| 336 ## - CONTENT TYPE |
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| Content type term |
text |
| Content type code |
txt |
| Source |
rdacontent |
| 337 ## - MEDIA TYPE |
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| Media type term |
unmediated |
| Media type code |
n |
| Source |
rdamedia |
| 338 ## - CARRIER TYPE |
|---|
| Carrier type term |
volume |
| Carrier type code |
nc |
| Source |
rdacarrier |
| 490 1# - SERIES STATEMENT |
|---|
| Series statement |
Lecture Notes in Mathematics ; |
| International Standard Serial Number |
0075-8434 |
| Volume/sequential designation |
Volume 2310 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
|---|
| Bibliography, etc. note |
Includes bibliographical references (pages 247-248) and index. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Jacobians. |
| 9 (RLIN) |
38254 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Geometry, Algebraic. |
| 9 (RLIN) |
43737 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Curves, Algebraic. |
| 9 (RLIN) |
43642 |
| 697 ## - LOCAL SUBJECT |
|---|
| Linkage |
23736 |
| Local Subject |
Coleções de Monografias. |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Rodríguez, Rubí E., |
| Dates associated with a name |
1953- |
| Relator term |
author. |
| 9 (RLIN) |
10610 |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
|---|
| Relationship information |
Online version: |
| Main entry heading |
Lange, H. (Herbert), 1943- |
| Title |
Decomposition of Jacobians by Prym varieties. |
| Place, publisher, and date of publication |
Cham : Springer, [2022] |
| International Standard Book Number |
9783031101458 |
| Record control number |
(OCoLC)1351747467 |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
|---|
| Relationship information |
Online version: |
| Main entry heading |
Lange, Herbert. |
| Title |
Decomposition of Jacobians by Prym Varieties. |
| Place, publisher, and date of publication |
Cham : Springer International Publishing AG, 2022 |
| International Standard Book Number |
9783031101458 |
| Record control number |
(OCoLC)1354568142 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
|---|
| Uniform title |
Lecture notes in mathematics (Springer-Verlag) ; |
| Volume/sequential designation |
2310. |
| International Standard Serial Number |
0075-8434 |
| 9 (RLIN) |
43881 |
| 880 0# - ALTERNATE GRAPHIC REPRESENTATION |
|---|
| Linkage |
505-00/(S |
| a |
Intro -- Preface -- Acknowledgements -- Contents -- Notations -- 1 Introduction -- 2 Preliminaries and Basic Results -- 2.1 Line Bundles on Abelian Varieties -- 2.2 Polarized Abelian Varieties -- 2.3 Endomorphisms of Abelian Varieties -- 2.4 The Weil Form on K(L) -- 2.5 Symmetric Idempotents -- 2.6 Abelian Subvarieties of a Polarized Abelian Variety -- 2.6.1 The Principally Polarized Case -- 2.6.2 The Case of an Arbitrary Polarization -- 2.7 Poincaré's Reducibility Theorem -- 2.8 Complex and Rational Representations of Finite Groups -- 2.9 The Isotypical and Group Algebra Decompositions -- 2.9.1 Generalities -- 2.9.2 Induced Action on the Tangent Space -- 2.10 Action of a Hecke Algebra on an Abelian Variety -- 3 Prym Varieties -- 3.1 Finite Covers of Curves -- 3.1.1 Definitions and Elementary Results -- 3.1.2 The Signature of a Galois Cover -- 3.1.3 The Geometric Signature of a Galois Cover -- 3.2 Prym Varieties of Covers of Curves -- 3.2.1 Definition of Prym Varieties -- 3.2.2 Polarizations of Prym Varieties -- 3.2.3 The Degrees of the Decomposition Isogeny -- 3.2.4 Degrees of Isogenies Arising from a Decomposition of f: C""0365C →C -- 3.3 Two-Division Points of Prym Varieties of Double Covers -- 3.4 Prym Varieties of Pairs of Covers -- 3.5 Galois Covers of Curves -- 3.5.1 Jacobians and Pryms of Intermediate Covers -- 3.5.2 Isotypical and Group Algebra Decompositions of Intermediate Covers -- 3.5.3 Decomposition of the Tangent Space of the Prym Variety Associated to a Pair of Subgroups -- 3.5.4 The Dimension of an Isotypical Component -- 4 Covers of Degree 2 and 3 -- 4.1 Covers of Degree 2 -- 4.2 Covers of Degree 3 -- 4.2.1 Cyclic Covers of Degree 3 -- 4.2.2 Non-cyclic Covers of Degree 3: The Galois Closure -- 4.2.3 The Irreducible Rational Representations of S3 -- 4.2.4 Curves with an S3-action: Decomposition of J""0365J -- 4.2.5 The Degree of the Isogeny ψ -- 5 Covers of Degree 4 -- 5.1 Cyclic Covers of Degree 4 -- 5.2 The Klein Group of Order 4 -- 5.2.1 Decompositions of J""0365J -- 5.2.2 Degrees of Some Isogenies -- 5.2.3 Proof of Proposition 5.2.5 -- 5.3 The Dihedral Group of Order 8 -- 5.3.1 Ramification and Genera -- 5.3.2 Decompositions of J""0365J -- 5.3.3 An Isogeny Coming from an Action of a Quotient Group -- 5.3.4 A Generalization of the Bigonal Construction -- 5.4 The Bigonal Construction -- 5.4.1 Definition and First Properties -- 5.4.2 Determination of the Bigonal Construction in the Non-Galois Case -- 5.4.3 The Bigonal Construction over C =P1 -- 5.4.4 Pantazis' Theorem -- 5.5 The Alternating Group of Degree 4 -- 5.5.1 Ramification and Genera -- 5.5.2 Decompositions of J -- 5.5.3 A Generalization of the Trigonal Construction -- 5.6 The Trigonal Construction for Covers with Group A4 -- 5.7 The Symmetric Group S4 -- 5.7.1 Ramification and Genera -- 5.7.2 Decomposition of J""0365J -- 5.7.3 Isogenies Arising from Actions of Subgroups of S4 -- 5.7.4 An Isogeny Arising from the Action of a Quotient of S4. |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
Dewey Decimal Classification |
| Koha item type |
Books |
| Suppress in OPAC |
No |
| 948 ## - LOCAL PROCESSING INFORMATION (OCLC); SERIES PART DESIGNATOR (RLIN) |
|---|
| h (OCLC) |
NO HOLDINGS IN P5A - 30 OTHER HOLDINGS |
