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Quadratic Chabauty for Atkin-Lehner quotients of modular curves of prime level and genus 4, 5, 6
Acta Arithmetica, 208(1) (2023); 15-49. urn:nbn:hr:237:506742
Adžaga, Nikola; Arul, Vishal; Beneish, Lea; Chen, Mingjie; Chidambaram, Shiva; Keller, Timo; Wen, Boya

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Adžaga, N., Arul, V., Beneish, L., Chen, M., Chidambaram, S., Keller, T. i Wen, B. (2023). Quadratic Chabauty for Atkin-Lehner quotients of modular curves of prime level and genus 4, 5, 6. Acta Arithmetica, 208(1)., 15-49. Preuzeto s https://urn.nsk.hr/urn:nbn:hr:237:506742

Adžaga, Nikola, et al. "Quadratic Chabauty for Atkin-Lehner quotients of modular curves of prime level and genus 4, 5, 6." Acta Arithmetica, vol. 208(1), 2023, str. 15-49. https://urn.nsk.hr/urn:nbn:hr:237:506742

Adžaga, Nikola, Vishal Arul, Lea Beneish, Mingjie Chen, Shiva Chidambaram, Timo Keller i Boya Wen. "Quadratic Chabauty for Atkin-Lehner quotients of modular curves of prime level and genus 4, 5, 6." Acta Arithmetica 208(1) (2023): 15-49. https://urn.nsk.hr/urn:nbn:hr:237:506742

Adžaga, N., et al. (2023) 'Quadratic Chabauty for Atkin-Lehner quotients of modular curves of prime level and genus 4, 5, 6', Acta Arithmetica, 208(1), str. 15-49. Preuzeto s: https://urn.nsk.hr/urn:nbn:hr:237:506742 (Datum pristupa: 07.12.2024.)

Adžaga N, Arul V, Beneish L, Chen M, Chidambaram S, Keller T, i sur.. Quadratic Chabauty for Atkin-Lehner quotients of modular curves of prime level and genus 4, 5, 6. Acta Arithmetica [Internet]. 2023. [pristupljeno 07.12.2024.];208(1):15-49. Dostupno na: https://urn.nsk.hr/urn:nbn:hr:237:506742

N. Adžaga, et al., "Quadratic Chabauty for Atkin-Lehner quotients of modular curves of prime level and genus 4, 5, 6", Acta Arithmetica, vol. 208(1), str. 15-49, 2023. [Online]. Dostupno na: https://urn.nsk.hr/urn:nbn:hr:237:506742. [Citirano: 07.12.2024.]

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Podaci o radu
Naslov (engleski)Quadratic Chabauty for Atkin-Lehner quotients of modular curves of prime level and genus 4, 5, 6
AutorNikola Adžaga
AutorVishal Arul
AutorLea Beneish
AutorMingjie Chen
AutorShiva Chidambaram
AutorTimo Keller
AutorBoya Wen
Autorova ustanovaSveučilište u Zagrebu
Građevinski fakultet
Znanstveno / umjetničko
područje, polje i grana		TEHNIČKE ZNANOSTI
Građevinarstvo
Sažetak (engleski)
We use the method of quadratic Chabauty on the quotients X0(N)+ of modular curves X0(N) by their Fricke involutions to provably compute all the rational points of these curves for prime levels N of genus four, five, and six. We find that the only such curves with exceptional rational points are of levels 137 and 311. In particular there are no exceptional rational points on those curves of genus five and six. More precisely, we determine the rational points on the curves X0(N)+ for N = 137, 173, 199, 251, 311, 157, 181, 227, 263, 163, 197, 211, 223, 269, 271, 359.
Ključne riječi (engleski)
Jezikengleski
Vrsta publikacijeZnanstveni rad - Izvorni znanstveni rad
Status objaveObjavljen
Vrsta recenzijeRecenziran - međunarodna recenzija
Verzija publikacijeObjavljena verzija rada (izdavačev PDF)
Naslov časopisaActa Arithmetica
Brojčani podacivol. 208(1), str. 15-49
e-ISSN1730-6264
URN:NBNurn:nbn:hr:237:506742
Datum objave publikacije2023
Vrsta resursaTekst
Prava pristupaOtvoreni pristup
Uvjeti korištenjaIkona licence Zaštićeno autorskim pravom.
Datum i vrijeme pohrane2024-09-05 06:54:09