Pregled bibliografske jedinice broj: 1023475
Growth of torsion groups of elliptic curves upon base change
Growth of torsion groups of elliptic curves upon base change // Mathematics of computation, 89 (2020), 1457-1485 doi:10.1090/mcom/3478 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1023475 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Growth of torsion groups of elliptic curves upon
base change
Autori
Gonzalez-Jimenez, Enrique ; Najman, Filip
Izvornik
Mathematics of computation (0025-5718) 89
(2020);
1457-1485
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
elliptic curves ; torsion over number fields
Sažetak
We study how the torsion of elliptic curves over number fields grows upon base change, and in particular prove various necessary conditions for torsion growth. For a number field F, we show that for a large set of number fields L, whose Galois group of their normal closure over F has certain properties, it will hold that E(L)tors = E(F)tors for all elliptic curves E defined over F.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2018-01-1313
ZCI QuantiXLie
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
