Pregled bibliografske jedinice broj: 836076
On the torsion group of elliptic curves induced by Diophantine triples over quadratic fields
On the torsion group of elliptic curves induced by Diophantine triples over quadratic fields // 1st Croatian Combinatorial Days
Zagreb, Hrvatska, 2016. (predavanje, međunarodna recenzija, sažetak, znanstveni)
CROSBI ID: 836076 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
On the torsion group of elliptic curves induced by Diophantine triples over quadratic fields
Autori
Jukić Bokun, Mirela
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Izvornik
1st Croatian Combinatorial Days
/ - , 2016
Skup
1st Croatian Combinatorial Days
Mjesto i datum
Zagreb, Hrvatska, 29.09.2016. - 30.09.2016
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
elliptic curve ; quadratic field ; torsion group ; Diophantine triple
Sažetak
The problem of extendibility of Diophantine triples in Q is closely connected with the properties of elliptic curves induced by them. The possible torsion groups of elliptic curves induced by Diophantine triples over quadratic fields, which do not appear over Q, are Z/2Z × Z/10Z, Z/2Z × Z/12Z and Z/4Z × Z/4Z. We showed that all these torsion groups indeed appear over some quadratic field. Moreover, we proved that there are infinitely many Diophantine triples over quadratic fields which induce elliptic curves with these torsion groups. This is joint work with Andrej Dujella and Ivan Soldo.
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)
Ustanove:
Sveučilište u Osijeku, Odjel za matematiku,
Sveučilište u Zagrebu
Profili:
Mirela Jukić Bokun
(autor)
