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Pregled bibliografske jedinice broj: 446107

Complete classification of torsion of elliptic curves over quadratic cyclotomic fields

Najman, Filip
Complete classification of torsion of elliptic curves over quadratic cyclotomic fields // Journal of number theory, 130 (2010), 9; 1964-1968 doi:10.1016/j.jnt.2009.12.008 (međunarodna recenzija, članak, znanstveni)

CROSBI ID: 446107 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
Complete classification of torsion of elliptic curves over quadratic cyclotomic fields

Autori
Najman, Filip

Izvornik
Journal of number theory (0022-314X) 130 (2010), 9; 1964-1968

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
torsion group ; elliptic curve ; quadratic field

Sažetak
In a previous paper, the author examined the possible torsions of an elliptic curve over the quadratic fields Q(i) and Q(sqrt(-3)). Although all the possible torsions were found if the elliptic curve has rational coefficients, we were unable to eliminate some possibilities for the torsion, if the elliptic curve has coefficients that are not rational. In this note, by finding all the points of two hyperelliptic curves over Q(i) and Q(sqrt(-3)), we solve this problem completely and thus obtain a classification of all possible torsions of elliptic curves over Q(i) and Q(sqrt(-3)).

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA

Projekti:
MZOS-037-0372781-2821 - Diofantske jednadžbe i eliptičke krivulje (Dujella, Andrej, MZOS ) ( CroRIS)

Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb

Profili:

Avatar Url Filip Najman (autor)

Poveznice na cjeloviti tekst rada:

doi www.sciencedirect.com dx.doi.org

Citiraj ovu publikaciju:

Najman, Filip
Complete classification of torsion of elliptic curves over quadratic cyclotomic fields // Journal of number theory, 130 (2010), 9; 1964-1968 doi:10.1016/j.jnt.2009.12.008 (međunarodna recenzija, članak, znanstveni)
Najman, F. (2010) Complete classification of torsion of elliptic curves over quadratic cyclotomic fields. Journal of number theory, 130 (9), 1964-1968 doi:10.1016/j.jnt.2009.12.008.
@article{article, author = {Najman, Filip}, year = {2010}, pages = {1964-1968}, DOI = {10.1016/j.jnt.2009.12.008}, keywords = {torsion group, elliptic curve, quadratic field}, journal = {Journal of number theory}, doi = {10.1016/j.jnt.2009.12.008}, volume = {130}, number = {9}, issn = {0022-314X}, title = {Complete classification of torsion of elliptic curves over quadratic cyclotomic fields}, keyword = {torsion group, elliptic curve, quadratic field} }
@article{article, author = {Najman, Filip}, year = {2010}, pages = {1964-1968}, DOI = {10.1016/j.jnt.2009.12.008}, keywords = {torsion group, elliptic curve, quadratic field}, journal = {Journal of number theory}, doi = {10.1016/j.jnt.2009.12.008}, volume = {130}, number = {9}, issn = {0022-314X}, title = {Complete classification of torsion of elliptic curves over quadratic cyclotomic fields}, keyword = {torsion group, elliptic curve, quadratic field} }

Časopis indeksira:


  • Current Contents Connect (CCC)
  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus

Uključenost u ostale bibliografske baze podataka::


  • MathSciNet
  • Zentrallblatt für Mathematik/Mathematical Abstracts

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