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Original scientific paper
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

Fulltext: english, pdf (129 KB) pages 265-275 downloads: 246* cite
APA 6th Edition
Gusić, 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 and Petra Tadić. "A remark on the injectivity of the specialization homomorphism." Glasnik matematički, vol. 47, no. 2, 2012, pp. 265-275. https://doi.org/10.3336/gm.47.2.03. Accessed 5 Dec. 2021.
Chicago 17th Edition
Gusić, Ivica and Petra Tadić. "A remark on the injectivity of the specialization homomorphism." Glasnik matematički 47, no. 2 (2012): 265-275. https://doi.org/10.3336/gm.47.2.03
Harvard
Gusić, I., and Tadić, P. (2012). 'A remark on the injectivity of the specialization homomorphism', Glasnik matematički, 47(2), pp. 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 [cited 2021 December 05];47(2):265-275. https://doi.org/10.3336/gm.47.2.03
IEEE
I. Gusić and P. Tadić, "A remark on the injectivity of the specialization homomorphism", Glasnik matematički, vol.47, no. 2, pp. 265-275, 2012. [Online]. https://doi.org/10.3336/gm.47.2.03

Abstracts
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.

Keywords
Elliptic curve; specialization homomorphism; rank; generators

Hrčak ID: 93940

URI
https://hrcak.srce.hr/93940

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