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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

Puni tekst: engleski, pdf (129 KB) str. 265-275 preuzimanja: 215* citiraj
APA 6th Edition
Gusić, I. i Tadić, P. (2012). A remark on the injectivity of the specialization homomorphism. Glasnik matematički, 47 (2), 265-275. https://doi.org/10.3336/gm.47.2.03
MLA 8th Edition
Gusić, Ivica i Petra Tadić. "A remark on the injectivity of the specialization homomorphism." Glasnik matematički, vol. 47, br. 2, 2012, str. 265-275. https://doi.org/10.3336/gm.47.2.03. Citirano 16.10.2021.
Chicago 17th Edition
Gusić, Ivica i Petra Tadić. "A remark on the injectivity of the specialization homomorphism." Glasnik matematički 47, br. 2 (2012): 265-275. https://doi.org/10.3336/gm.47.2.03
Harvard
Gusić, I., i Tadić, P. (2012). 'A remark on the injectivity of the specialization homomorphism', Glasnik matematički, 47(2), str. 265-275. https://doi.org/10.3336/gm.47.2.03
Vancouver
Gusić I, Tadić P. A remark on the injectivity of the specialization homomorphism. Glasnik matematički [Internet]. 2012 [pristupljeno 16.10.2021.];47(2):265-275. https://doi.org/10.3336/gm.47.2.03
IEEE
I. Gusić i P. Tadić, "A remark on the injectivity of the specialization homomorphism", Glasnik matematički, vol.47, br. 2, str. 265-275, 2012. [Online]. https://doi.org/10.3336/gm.47.2.03

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
https://hrcak.srce.hr/93940

Posjeta: 429 *