Pregled bibliografske jedinice broj: 903345
Elliptic curves over quadratic fields with fixed torsion subgroup and positive rank
Elliptic curves over quadratic fields with fixed torsion subgroup and positive rank // 5th Croatian Mathematical Congress
Rijeka, Hrvatska, 2012. str. 41-41 (predavanje, međunarodna recenzija, sažetak, znanstveni)
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Naslov
Elliptic curves over quadratic fields with fixed torsion subgroup and positive rank
Autori
Jukić Bokun ; Mirela
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Skup
5th Croatian Mathematical Congress
Mjesto i datum
Rijeka, Hrvatska, 18.06.2012. - 21.06.2012
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
elliptic curve, torsion group, rank, quadratic field
Sažetak
For each of the torsion groups Z/2Z ⊕ Z/10Z, Z/2Z ⊕ Z/12Z, Z/15Z we will determine the quadratic field with the smallest absolute value of its discriminant such that there exists an elliptic curve with that torsion and positive rank. For the torsion groups Z/11Z, Z/14Z we will solve the analogous problem after assuming the Parity conjecture.
Izvorni jezik
Engleski
Znanstvena područja
Matematika