Zobrazeno 1 - 4
of 4
pro vyhledávání: '"Ciaran Schembri"'
Publikováno v:
Forum of Mathematics, Sigma, Vol 12 (2024)
Let A be an abelian surface over ${\mathbb {Q}}$ whose geometric endomorphism ring is a maximal order in a non-split quaternion algebra. Inspired by Mazur’s theorem for elliptic curves, we show that the torsion subgroup of $A({\mathbb {Q}})$
Externí odkaz:
https://doaj.org/article/e6eadc996f794f5caed8f7646166f9fc
Autor:
Oana Padurariu, Ciaran Schembri
Publikováno v:
Expositiones Mathematicae.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::716d7884e015996af4b79c17cbcc7948
https://doi.org/10.1016/j.exmath.2023.02.005
https://doi.org/10.1016/j.exmath.2023.02.005
Publikováno v:
Arithmetic Geometry, Number Theory, and Computation ISBN: 9783030809133
We study the rational Bianchi newforms (weight 2, trivial character, with rational Hecke eigenvalues) in the LMFDB that are not associated to elliptic curves, but instead to abelian surfaces with quaternionic multiplication. Two of these examples exh
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::71861d369f89049ceadc9182a84c3955
https://doi.org/10.1007/978-3-030-80914-0_11
https://doi.org/10.1007/978-3-030-80914-0_11
Autor:
Ciaran Schembri
Publikováno v:
Research in Number Theory. 5
Let $K$ be an imaginary quadratic field. Modular forms for GL(2) over $K$ are known as Bianchi modular forms. Standard modularity conjectures assert that every weight 2 rational Bianchi newform has either an associated elliptic curve over $K$ or an a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7e92ddb0a36d2c9743a8a74bf86c5373
https://doi.org/10.1007/s40993-018-0150-x
https://doi.org/10.1007/s40993-018-0150-x