Torsion groups of elliptic curves over quadratic fields (CROSBI ID 564289)
Prilog sa skupa u zborniku | sažetak izlaganja sa skupa | međunarodna recenzija
Podaci o odgovornosti
Najman, Filip
engleski
Torsion groups of elliptic curves over quadratic fields
By Mazur's torsion theorem, all the possible torsion groups of an elliptic curve over the rationals are known. By a result of Kamienny, all the possible torsion groups of an elliptic curve over all quadratic fields are also known. But Kamienny's theorem gives us no information about which torsion groups actually appear for some fixed quadratic field. We examine this problem and, for each torsion group that appears over some quadratic field, find the field with the smallest absolute value of the discriminant such that this group actually appears as torsion of an ellitpic curve. We also examine the number of elliptic curves with perscribed torsion over a fixed quadratic field.
ellipitic curves ; torsion group ; quadratic fields
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Podaci o prilogu
53-53.
2010.
objavljeno
Podaci o matičnoj publikaciji
9th Colloquiumfest on Algebra and Logic and 8th Czech, Polish and Slovak Conference on Number Theory
Podaci o skupu
ALaNT – Joint Conferences on Algebra, Logic and Number Theory
predavanje
21.06.2010-24.06.2010
Bukowina Tatrzańska, Poljska