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Pregled bibliografske jedinice broj: 572255

A remark on the injectivity of the specialization homomorphism

Gusić, Ivica; Tadić, Petra
A remark on the injectivity of the specialization homomorphism // Glasnik Matematicki, 47 (2012), 2; 265-275 doi:10.3336/gm.47.2.03 (međunarodna recenzija, članak, znanstveni)

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Naslov
A remark on the injectivity of the specialization homomorphism

Autori
Gusić, Ivica ; Tadić, Petra

Izvornik
Glasnik Matematicki (0017-095X) 47 (2012), 2; 265-275

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
elliptic curve; specialization homomorphism; rank; generators

Sažetak
Let E : y^2 = (x - e1)(x - e2)(x - e3) be a nonconstant elliptic curve over Q(T). We give sucient 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.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA

Projekti:
037-0372781-2821 - Diofantske jednadžbe i eliptičke krivulje (Dujella, Andrej, MZOS ) ( CroRIS)

Ustanove:
Fakultet kemijskog inženjerstva i tehnologije, Zagreb,
Geotehnički fakultet, Varaždin

Profili:

Avatar Url Petra Rihter Tadić (autor)

Avatar Url Ivica Gusić (autor)

Poveznice na cjeloviti tekst rada:

doi web.math.pmf.unizg.hr

Citiraj ovu publikaciju:

Gusić, Ivica; Tadić, Petra
A remark on the injectivity of the specialization homomorphism // Glasnik Matematicki, 47 (2012), 2; 265-275 doi:10.3336/gm.47.2.03 (međunarodna recenzija, članak, znanstveni)
Gusić, I. & Tadić, P. (2012) A remark on the injectivity of the specialization homomorphism. Glasnik Matematicki, 47 (2), 265-275 doi:10.3336/gm.47.2.03.
@article{article, author = {Gusi\'{c}, Ivica and Tadi\'{c}, Petra}, year = {2012}, pages = {265-275}, DOI = {10.3336/gm.47.2.03}, keywords = {elliptic curve, specialization homomorphism, rank, generators}, journal = {Glasnik Matematicki}, doi = {10.3336/gm.47.2.03}, volume = {47}, number = {2}, issn = {0017-095X}, title = {A remark on the injectivity of the specialization homomorphism}, keyword = {elliptic curve, specialization homomorphism, rank, generators} }
@article{article, author = {Gusi\'{c}, Ivica and Tadi\'{c}, Petra}, year = {2012}, pages = {265-275}, DOI = {10.3336/gm.47.2.03}, keywords = {elliptic curve, specialization homomorphism, rank, generators}, journal = {Glasnik Matematicki}, doi = {10.3336/gm.47.2.03}, volume = {47}, number = {2}, issn = {0017-095X}, title = {A remark on the injectivity of the specialization homomorphism}, keyword = {elliptic curve, specialization homomorphism, rank, generators} }

Časopis indeksira:


  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus

Uključenost u ostale bibliografske baze podataka::


  • MathSciNet
  • Zentrallblatt für Mathematik/Mathematical Abstracts

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