Pregled bibliografske jedinice broj: 920240
Tamagawa Numbers of elliptic curves with C-13 torsion over quadratic fields
Tamagawa Numbers of elliptic curves with C-13 torsion over quadratic fields // Proceedings of the American Mathematical Society, 145 (2017), 9; 3747-3753 doi:10.1090/proc/13553 (međunarodna recenzija, članak, znanstveni)
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Naslov
Tamagawa Numbers of elliptic curves with C-13 torsion over quadratic fields
Autori
Najman, Filip
Izvornik
Proceedings of the American Mathematical Society (0002-9939) 145
(2017), 9;
3747-3753
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
elliptic curves ; Tamagawa numbers
Sažetak
Let E be an elliptic curve over a number field K, cv the Tamagawa number of E at v, and let cE be the product of all cv. Lorenzini proved that v13(cE) is positive for all elliptic curves over quadratic fields with a point of order 13. Krumm conjectured, based on extensive computation, that the 13- adic valuation of cE is even for all such elliptic curves. In this note we prove this conjecture and furthermore prove that there is a unique such curve satisfying v13(cE) = 2.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb
Profili:
Filip Najman
(autor)
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
