The Resource The decomposition of primes in torsion point fields, Clemens Adelmann
The decomposition of primes in torsion point fields, Clemens Adelmann
Resource Information
The item The decomposition of primes in torsion point fields, Clemens Adelmann represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item The decomposition of primes in torsion point fields, Clemens Adelmann represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
- 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
- Language
- eng
- Extent
- 1 online resource (vi, 142 pages)
- 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
- Isbn
- 9783540449492
- Label
- The decomposition of primes in torsion point fields
- Title
- The decomposition of primes in torsion point fields
- Statement of responsibility
- Clemens Adelmann
- 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
- 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
- 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
- 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
Library Links
Embed
Settings
Select options that apply then copy and paste the RDF/HTML data fragment to include in your application
Embed this data in a secure (HTTPS) page:
Layout options:
Include data citation:
<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.missouri.edu/portal/The-decomposition-of-primes-in-torsion-point/0CL06FGIXso/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/The-decomposition-of-primes-in-torsion-point/0CL06FGIXso/">The decomposition of primes in torsion point fields, Clemens Adelmann</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>
Note: Adjust the width and height settings defined in the RDF/HTML code fragment to best match your requirements
Preview
Cite Data - Experimental
Data Citation of the Item The decomposition of primes in torsion point fields, Clemens Adelmann
Copy and paste the following RDF/HTML data fragment to cite this resource
<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.missouri.edu/portal/The-decomposition-of-primes-in-torsion-point/0CL06FGIXso/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/The-decomposition-of-primes-in-torsion-point/0CL06FGIXso/">The decomposition of primes in torsion point fields, Clemens Adelmann</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>
