prikaz prve stranice dokumenta Rational points on hyperelliptic Atkin-Lehner quotients of modular curves and their coverings
  Preuzmi
PDF 352.38 KB
Znanstveni rad - Izvorni znanstveni rad
Rational points on hyperelliptic Atkin-Lehner quotients of modular curves and their coverings
Research in number theory, 8 (2022); 87. urn:nbn:hr:237:493899
Adžaga, Nikola; Chidambaram, Shiva; Keller, Timo; Padurariu, Oana

Citirajte ovaj rad

Adžaga, N., Chidambaram, S., Keller, T. i Padurariu, O. (2022). Rational points on hyperelliptic Atkin-Lehner quotients of modular curves and their coverings. Research in number theory, 8.. Preuzeto s https://urn.nsk.hr/urn:nbn:hr:237:493899

Adžaga, Nikola, et al. "Rational points on hyperelliptic Atkin-Lehner quotients of modular curves and their coverings." Research in number theory, vol. 8, 2022. https://urn.nsk.hr/urn:nbn:hr:237:493899

Adžaga, Nikola, Shiva Chidambaram, Timo Keller i Oana Padurariu. "Rational points on hyperelliptic Atkin-Lehner quotients of modular curves and their coverings." Research in number theory 8 (2022). https://urn.nsk.hr/urn:nbn:hr:237:493899

Adžaga, N., et al. (2022) 'Rational points on hyperelliptic Atkin-Lehner quotients of modular curves and their coverings', Research in number theory, 8. Preuzeto s: https://urn.nsk.hr/urn:nbn:hr:237:493899 (Datum pristupa: 09.09.2024.)

Adžaga N, Chidambaram S, Keller T, Padurariu O. Rational points on hyperelliptic Atkin-Lehner quotients of modular curves and their coverings. Research in number theory [Internet]. 2022. [pristupljeno 09.09.2024.];8. Dostupno na: https://urn.nsk.hr/urn:nbn:hr:237:493899

N. Adžaga, S. Chidambaram, T. Keller i O. Padurariu, "Rational points on hyperelliptic Atkin-Lehner quotients of modular curves and their coverings", Research in number theory, vol. 8, 2022. [Online]. Dostupno na: https://urn.nsk.hr/urn:nbn:hr:237:493899. [Citirano: 09.09.2024.]

Za citiranje koristite ovu mrežnu adresu: https://urn.nsk.hr/urn:nbn:hr:237:493899
Prijavite se u repozitorij kako biste mogli spremiti objekt u svoju listu.
Podaci o radu
Naslov (engleski)Rational points on hyperelliptic Atkin-Lehner quotients of modular curves and their coverings
AutorNikola Adžaga
AutorShiva Chidambaram
AutorTimo Keller
AutorOana Padurariu
Autorova ustanovaSveučilište u Zagrebu
Građevinski fakultet
Znanstveno / umjetničko
područje, polje i grana		TEHNIČKE ZNANOSTI
Građevinarstvo
Sažetak (engleski)
We complete the computation of all Q-rational points on all the 64 maximal Atkin-Lehner quotients X0(N)∗ such that the quotient is hyperelliptic. To achieve this, we use a combination of various methods, namely the classical Chabauty–Coleman, elliptic curve Chabauty, quadratic Chabauty, and the bielliptic quadratic Chabauty method (from a forthcoming preprint of the fourth-named author) combined with the Mordell-Weil sieve. Additionally, for square- free levels N, we classify all Q-rational points as cusps, CM points (including their CM field and j-invariants) and exceptional ones. We further indicate how to use this to compute the Q-rational points on all of their modular coverings.
Ključne riječi (engleski)
Jezikengleski
Vrsta publikacijeZnanstveni rad - Izvorni znanstveni rad
Status objaveObjavljen
Vrsta recenzijeRecenziran - međunarodna recenzija
Verzija publikacijeObjavljena verzija rada (izdavačev PDF)
Naslov časopisaResearch in number theory
Brojčani podacivol. 8, 87
e-ISSN2522-0160
URN:NBNurn:nbn:hr:237:493899
Datum objave publikacije2022
Vrsta resursaTekst
Prava pristupaOtvoreni pristup
Uvjeti korištenjaIkona licence Zaštićeno autorskim pravom.
Datum i vrijeme pohrane2024-09-04 21:23:01