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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
Summary
We investigate the decomposition of prime ideals in non-abelian extensions of number fields. These fields are generated by the coordinates of torsion points of elliptic curves without complex multiplications. We explain the necessary prerequisites from the theory of elliptic curves, modular forms, algebraic number theory, and invariant theory. Due to the complexity of the problem, complete results are restricted to torsion points of low order. These results are complemented by computational data which also cover some unsolved cases
Member of
Cataloging source
EYM
http://library.link/vocab/creatorDate
1965-
http://library.link/vocab/creatorName
Adelmann, Clemens
Dewey number
  • 510 s
  • 512/.4
Illustrations
illustrations
Index
index present
Language note
English
LC call number
QA3
LC item number
.L28 no. 1761
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Lecture notes in mathematics,
Series volume
1761
http://library.link/vocab/subjectName
  • Ideals (Algebra)
  • Torsion theory (Algebra)
  • Decomposition (Mathematics)
  • Decomposition (Mathematics)
  • Ideals (Algebra)
  • Torsion theory (Algebra)
Target audience
specialized
Label
The decomposition of primes in torsion point fields, Clemens Adelmann
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references (pages 135-136) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
mixed
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Introduction -- Decomposition laws -- Elliptic curves -- Elliptic modular curves -- Torsion point fields -- Invariants and resolvent polynomials -- Appendix: Invariants of elliptic modular curves; L-series coefficients a p; Fully decomposed prime numbers; Resolvent polynomials; Free resolution of the invariant algebra
Control code
50398222
Dimensions
unknown
Extent
1 online resource (vi, 142 pages)
File format
multiple file formats
Form of item
online
Isbn
9783540449492
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/b80624
Other physical details
illustrations.
Quality assurance targets
unknown
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)50398222
Label
The decomposition of primes in torsion point fields, Clemens Adelmann
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references (pages 135-136) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
mixed
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Introduction -- Decomposition laws -- Elliptic curves -- Elliptic modular curves -- Torsion point fields -- Invariants and resolvent polynomials -- Appendix: Invariants of elliptic modular curves; L-series coefficients a p; Fully decomposed prime numbers; Resolvent polynomials; Free resolution of the invariant algebra
Control code
50398222
Dimensions
unknown
Extent
1 online resource (vi, 142 pages)
File format
multiple file formats
Form of item
online
Isbn
9783540449492
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/b80624
Other physical details
illustrations.
Quality assurance targets
unknown
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)50398222

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