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Pregled bibliografske jedinice broj: 1245760

Counting elliptic curves with prescribed level structures over number fields


Bruin, Peter; Najman, Filip
Counting elliptic curves with prescribed level structures over number fields // Journal of the London Mathematical Society, 105 (2022), 4; 2415-2435 doi:10.1112/jlms.12564 (međunarodna recenzija, članak, znanstveni)


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Naslov
Counting elliptic curves with prescribed level structures over number fields

Autori
Bruin, Peter ; Najman, Filip

Izvornik
Journal of the London Mathematical Society (0024-6107) 105 (2022), 4; 2415-2435

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

Ključne riječi
elliptic curves ; torsion

Sažetak
Harron and Snowden [11] counted the number of elliptic curves over Q up to height X with torsion group G for each possible torsion group G over Q. In this paper we generalize their result to all number fields and all level structures G such that the corresponding modular curve XG is a weighted projective line P(w0, w1) and the morphism XG → X(1) satisfies a certain condition. In particular, this includes all modular curves X1(m, n) with coarse moduli space of genus 0. We prove our results by defining a size function on P(w0, w1) following unpublished work of Deng [7], and working out how to count the number of points on P(w0, w1) up to size X.

Izvorni jezik
Engleski



POVEZANOST RADA


Projekti:
--KK.01.1.1.01.0004 - Provedba vrhunskih istraživanja u sklopu Znanstvenog centra izvrsnosti za kvantne i kompleksne sustave te reprezentacije Liejevih algebri (QuantiXLie) (Buljan, Hrvoje; Pandžić, Pavle) ( CroRIS)
HRZZ-IP-2018-01-1313 - Diofantska geometrija i primjene (DIOPHANT) (Kazalicki, Matija, HRZZ - 2018-01) ( CroRIS)

Profili:

Avatar Url Filip Najman (autor)

Poveznice na cjeloviti tekst rada:

doi

Citiraj ovu publikaciju:

Bruin, Peter; Najman, Filip
Counting elliptic curves with prescribed level structures over number fields // Journal of the London Mathematical Society, 105 (2022), 4; 2415-2435 doi:10.1112/jlms.12564 (međunarodna recenzija, članak, znanstveni)
Bruin, P. & Najman, F. (2022) Counting elliptic curves with prescribed level structures over number fields. Journal of the London Mathematical Society, 105 (4), 2415-2435 doi:10.1112/jlms.12564.
@article{article, author = {Bruin, Peter and Najman, Filip}, year = {2022}, pages = {2415-2435}, DOI = {10.1112/jlms.12564}, keywords = {elliptic curves, torsion}, journal = {Journal of the London Mathematical Society}, doi = {10.1112/jlms.12564}, volume = {105}, number = {4}, issn = {0024-6107}, title = {Counting elliptic curves with prescribed level structures over number fields}, keyword = {elliptic curves, torsion} }
@article{article, author = {Bruin, Peter and Najman, Filip}, year = {2022}, pages = {2415-2435}, DOI = {10.1112/jlms.12564}, keywords = {elliptic curves, torsion}, journal = {Journal of the London Mathematical Society}, doi = {10.1112/jlms.12564}, volume = {105}, number = {4}, issn = {0024-6107}, title = {Counting elliptic curves with prescribed level structures over number fields}, keyword = {elliptic curves, torsion} }

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


Citati:





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