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The Resource The decomposition of primes in torsion point fields, Clemens Adelmann

The decomposition of primes in torsion point fields, Clemens Adelmann

Label
The decomposition of primes in torsion point fields
Title
The decomposition of primes in torsion point fields
Statement of responsibility
Clemens Adelmann
Creator
Subject
Language
eng
Member of
Cataloging source
DLC
http://library.link/vocab/creatorDate
1965-
http://library.link/vocab/creatorName
Adelmann, Clemens
Dewey number
  • 510 s
  • 512/.4
Illustrations
illustrations
Index
index present
LC call number
  • QA3
  • QA247
LC item number
.L28 no. 1761
Literary form
non fiction
Nature of contents
bibliography
Series statement
Lecture notes in mathematics,
Series volume
1761
http://library.link/vocab/subjectName
  • Ideals (Algebra)
  • Torsion theory (Algebra)
  • Decomposition (Mathematics)
Label
The decomposition of primes in torsion point fields, Clemens Adelmann
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages [135]-136) and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
1. Introduction -- 2. Decomposition Laws -- 2.1. Foundations of Prime Ideal Decomposition -- 2.2. Decomposition in Abelian Extensions -- 2.3. Density Statements -- 3. Elliptic Curves -- 3.1. Defining Equations -- 3.2. Addition on Elliptic Curves -- 3.3. Division Polynomials -- 3.4. Torsion Points -- 3.5. l-adic Representations -- 3.6. Reduction Modulo [p] and L-Series -- 4. Elliptic Modular Curves -- 4.1. Modular Curves -- 4.2. Modular Forms -- 4.3. Hecke Operators -- 4.4. The Eichler-Shimura Formula -- 5. Torsion Point Fields -- 5.1. The Groups GL(2,n) -- 5.2. Subfields of k(E[subscript n]) -- 5.3. Defining Polynomials of Subfields of k(E[subscript n]) -- 5.4. Decomposition in 2- and 3-Torsion Point Fields -- 5.5. Decomposition in 4-Torsion Point Fields -- 5.6. Decomposition in p[superscript m]-Torsion Point Fields -- 6. Invariants and Resolvent Polynomials -- 6.1. Foundations of Galois Theory -- 6.2. Procedure for the Description of Subfields -- 6.3. Invariant Algebras -- 6.4. Application to 4-Torsion Point Fields -- App. A. Invariants of Elliptic Modular Curves -- App. B. L-series of Coefficients a[subscript p] -- App. C. Fully Decomposed Prime Numbers -- App. D. Resolvent Polynomials -- App. E. Free Resolution of the Invariant Algebra
Control code
46809048
Dimensions
24 cm
Extent
vi, 142 pages
Isbn
9783540420354
Isbn Type
(pbk. : alk. paper)
Lccn
2001031199
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
Label
The decomposition of primes in torsion point fields, Clemens Adelmann
Publication
Bibliography note
Includes bibliographical references (pages [135]-136) and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
1. Introduction -- 2. Decomposition Laws -- 2.1. Foundations of Prime Ideal Decomposition -- 2.2. Decomposition in Abelian Extensions -- 2.3. Density Statements -- 3. Elliptic Curves -- 3.1. Defining Equations -- 3.2. Addition on Elliptic Curves -- 3.3. Division Polynomials -- 3.4. Torsion Points -- 3.5. l-adic Representations -- 3.6. Reduction Modulo [p] and L-Series -- 4. Elliptic Modular Curves -- 4.1. Modular Curves -- 4.2. Modular Forms -- 4.3. Hecke Operators -- 4.4. The Eichler-Shimura Formula -- 5. Torsion Point Fields -- 5.1. The Groups GL(2,n) -- 5.2. Subfields of k(E[subscript n]) -- 5.3. Defining Polynomials of Subfields of k(E[subscript n]) -- 5.4. Decomposition in 2- and 3-Torsion Point Fields -- 5.5. Decomposition in 4-Torsion Point Fields -- 5.6. Decomposition in p[superscript m]-Torsion Point Fields -- 6. Invariants and Resolvent Polynomials -- 6.1. Foundations of Galois Theory -- 6.2. Procedure for the Description of Subfields -- 6.3. Invariant Algebras -- 6.4. Application to 4-Torsion Point Fields -- App. A. Invariants of Elliptic Modular Curves -- App. B. L-series of Coefficients a[subscript p] -- App. C. Fully Decomposed Prime Numbers -- App. D. Resolvent Polynomials -- App. E. Free Resolution of the Invariant Algebra
Control code
46809048
Dimensions
24 cm
Extent
vi, 142 pages
Isbn
9783540420354
Isbn Type
(pbk. : alk. paper)
Lccn
2001031199
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations

Library Locations

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