Glasnik matematički, Vol. 47 No. 2, 2012.
Izvorni znanstveni članak
https://doi.org/10.3336/gm.47.2.03
A remark on the injectivity of the specialization homomorphism
Ivica Gusić
; Faculty of Chemical Engin. and Techn., University of Zagreb, Marulićev trg 19, 10000 Zagreb, Croatia
Petra Tadić
; Geotechnical faculty, University of Zagreb, Hallerova aleja 7, 42000 Varaždin, Croatia
Sažetak
Let E:y2=(x-e1)(x-e2)(x-e3), be a nonconstant elliptic curve over Q(T). We give sufficient conditions for a specialization homomorphism to be injective, based on the unique factorization in Z[T] and Z. The result is applied for calculating exactly the Mordell-Weil group of several elliptic curves over Q(T) coming from a paper by Rubin and Silverberg.
Ključne riječi
Elliptic curve; specialization homomorphism; rank; generators
Hrčak ID:
93940
URI
Datum izdavanja:
19.12.2012.
Posjeta: 899 *