Pregled bibliografske jedinice broj: 722853
Elliptic curves with torsion group Z/8Z or Z/2Z × Z/6Z
Elliptic curves with torsion group Z/8Z or Z/2Z × Z/6Z // Contemporary mathematics - American Mathematical Society, 649 (2015), 47-62 doi:10.1090/conm/649/13019 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 722853 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Elliptic curves with torsion group Z/8Z or Z/2Z × Z/6Z
Autori
Dujella, Andrej ; Peral, Juan Carlos
Izvornik
Contemporary mathematics - American Mathematical Society (0271-4132) 649
(2015);
47-62
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
elliptic curves ; rank ; torsion group
Sažetak
We show the existence of families of elliptic curves over Q whose generic rank is at least 2 for the torsion groups Z/8Z and Z/2Z × Z/6Z. Also in both cases we prove the existence of in nitely many elliptic curves, which are parameterized by the points of an elliptic curve with positive rank, with such torsion group and rank at least 3. These results represent an improvement of previous results by Campbell, Kulesz, Lecacheux, Dujella and Rabarison where families with rank at least 1 were constructed in both cases.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2013-11-6422 - Diofantove m-torke, eliptičke krivulje, Thueove i indeksne jednadžbe (DIOPHANTINE) (Dujella, Andrej, HRZZ - 2013-11) ( CroRIS)
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:
Andrej Dujella
(autor)
Citiraj ovu publikaciju:
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
- Zentrallblatt für Mathematik/Mathematical Abstracts
