skip to content
The decomposition of primes in torsion point fields Preview this item
ClosePreview this item
Checking...

The decomposition of primes in torsion point fields

Author: Clemens Adelmann
Publisher: Berlin ; New York : Springer, ©2001.
Series: Lecture notes in mathematics (Springer-Verlag), 1761.
Edition/Format:   eBook : Document : EnglishView all editions and formats
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  Read more...
Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

Find a copy online

Links to this item

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Genre/Form: Electronic books
Additional Physical Format: Print version:
Adelmann, Clemens, 1965-
Decomposition of primes in torsion point fields.
New York : Springer, ©2001
(DLC) 2001031199
(OCoLC)46809048
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Clemens Adelmann
ISBN: 9783540449492 3540449493
OCLC Number: 50398222
Description: 1 online resource (vi, 142 pages) : illustrations.
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.
Series Title: Lecture notes in mathematics (Springer-Verlag), 1761.
Responsibility: Clemens Adelmann.

Abstract:

k k Given an extension K/k of algebraic number ?elds and a prime ideal p of O , the decomposition law of K/k describes the product decomposition of k the ideal generated by p in O and names its  Read more...

Reviews

User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.
Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


Primary Entity

<http://www.worldcat.org/oclc/50398222> # The decomposition of primes in torsion point fields
    a schema:Book, schema:MediaObject, schema:CreativeWork ;
   library:oclcnum "50398222" ;
   library:placeOfPublication <http://experiment.worldcat.org/entity/work/data/6296843#Place/berlin> ; # Berlin
   library:placeOfPublication <http://id.loc.gov/vocabulary/countries/gw> ;
   library:placeOfPublication <http://dbpedia.org/resource/New_York_City> ; # New York
   schema:about <http://id.worldcat.org/fast/889127> ; # Decomposition (Mathematics)
   schema:about <http://id.worldcat.org/fast/966851> ; # Ideals (Algebra)
   schema:about <http://dewey.info/class/510/e21/> ;
   schema:about <http://id.worldcat.org/fast/1152871> ; # Torsion theory (Algebra)
   schema:bookFormat schema:EBook ;
   schema:copyrightYear "2001" ;
   schema:creator <http://viaf.org/viaf/42073362> ; # Clemens Adelmann
   schema:datePublished "2001" ;
   schema:description "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."@en ;
   schema:description "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."@en ;
   schema:exampleOfWork <http://worldcat.org/entity/work/id/6296843> ;
   schema:genre "Electronic books"@en ;
   schema:inLanguage "en" ;
   schema:isPartOf <http://experiment.worldcat.org/entity/work/data/6296843#Series/lecture_notes_in_mathematics_springer_verlag> ; # Lecture notes in mathematics (Springer-Verlag) ;
   schema:isPartOf <http://worldcat.org/issn/0075-8434> ; # Lecture notes in mathematics,
   schema:isSimilarTo <http://www.worldcat.org/oclc/46809048> ;
   schema:name "The decomposition of primes in torsion point fields"@en ;
   schema:productID "50398222" ;
   schema:publication <http://www.worldcat.org/title/-/oclc/50398222#PublicationEvent/berlin_new_york_springer_2001> ;
   schema:publisher <http://experiment.worldcat.org/entity/work/data/6296843#Agent/springer> ; # Springer
   schema:url <http://dx.doi.org/10.1007/b80624> ;
   schema:url <https://0-link-springer-com.pugwash.lib.warwick.ac.uk/10.1007/b80624> ;
   schema:url <http://www.springerlink.com/openurl.asp?genre=issue&issn=0075-8434&volume=1761> ;
   schema:url <https://login.proxy.lib.strath.ac.uk/login?url=http://link.springer.com/10.1007/b80624> ;
   schema:workExample <http://worldcat.org/isbn/9783540449492> ;
   wdrs:describedby <http://www.worldcat.org/title/-/oclc/50398222> ;
    .


Related Entities

<http://dbpedia.org/resource/New_York_City> # New York
    a schema:Place ;
   schema:name "New York" ;
    .

<http://experiment.worldcat.org/entity/work/data/6296843#Series/lecture_notes_in_mathematics_springer_verlag> # Lecture notes in mathematics (Springer-Verlag) ;
    a bgn:PublicationSeries ;
   schema:hasPart <http://www.worldcat.org/oclc/50398222> ; # The decomposition of primes in torsion point fields
   schema:name "Lecture notes in mathematics (Springer-Verlag) ;" ;
    .

<http://id.worldcat.org/fast/1152871> # Torsion theory (Algebra)
    a schema:Intangible ;
   schema:name "Torsion theory (Algebra)"@en ;
    .

<http://id.worldcat.org/fast/889127> # Decomposition (Mathematics)
    a schema:Intangible ;
   schema:name "Decomposition (Mathematics)"@en ;
    .

<http://id.worldcat.org/fast/966851> # Ideals (Algebra)
    a schema:Intangible ;
   schema:name "Ideals (Algebra)"@en ;
    .

<http://viaf.org/viaf/42073362> # Clemens Adelmann
    a schema:Person ;
   schema:birthDate "1965" ;
   schema:familyName "Adelmann" ;
   schema:givenName "Clemens" ;
   schema:name "Clemens Adelmann" ;
    .

<http://worldcat.org/isbn/9783540449492>
    a schema:ProductModel ;
   schema:isbn "3540449493" ;
   schema:isbn "9783540449492" ;
    .

<http://worldcat.org/issn/0075-8434> # Lecture notes in mathematics,
    a bgn:PublicationSeries ;
   schema:hasPart <http://www.worldcat.org/oclc/50398222> ; # The decomposition of primes in torsion point fields
   schema:issn "0075-8434" ;
   schema:name "Lecture notes in mathematics," ;
    .

<http://www.worldcat.org/oclc/46809048>
    a schema:CreativeWork ;
   rdfs:label "Decomposition of primes in torsion point fields." ;
   schema:description "Print version:" ;
   schema:isSimilarTo <http://www.worldcat.org/oclc/50398222> ; # The decomposition of primes in torsion point fields
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.