Pregled bibliografske jedinice broj: 856613
A criterion to rule out torsion groups for elliptic curves over number fields
A criterion to rule out torsion groups for elliptic curves over number fields // Research in number theory, 2 (2016), 3, 13 doi:10.1007/s40993-015-0031-5 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 856613 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
A criterion to rule out torsion groups for elliptic curves over number fields
Autori
Bruin, Peter ; Najman, Filip
Izvornik
Research in number theory (2522-0160) 2
(2016);
3, 13
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Elliptic curves ; Torsion
Sažetak
We present a criterion for proving that certain groups of the form Z/mZ+Z/nZ do not occur as the torsion subgroup of any elliptic curve over suitable (families of) number fields. We apply this criterion to eliminate certain groups as torsion groups of elliptic curves over cubic and quartic fields. We also use this criterion to give the list of all torsion groups of elliptic curves occurring over a speci fic cubic fi eld and over a specifi c quartic field.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb
Profili:
Filip Najman
(autor)
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Emerging Sources Citation Index (ESCI)
- Scopus
