Zobrazeno 1 - 10
of 41
pro vyhledávání: '"Álvaro Lozano-Robledo"'
Autor:
Garen Chiloyan, Álvaro Lozano‐Robledo
Publikováno v:
Transactions of the London Mathematical Society, Vol 8, Iss 1, Pp 1-34 (2021)
Abstract Let E be a Q‐isogeny class of elliptic curves defined over Q. The isogeny graph associated to E is a graph which has a vertex for each elliptic curve in the Q‐isogeny class E, and an edge for each cyclic Q‐isogeny of prime degree betwe
Externí odkaz:
https://doaj.org/article/7b6a4b9f884f43a8bca7e92c4b623e32
Autor:
Álvaro Lozano-Robledo
Publikováno v:
The Mathematical Intelligencer. 44:273-276
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::22e85acd95b0e91a0f16a1e125f9d86f
https://doi.org/10.1007/s00283-022-10191-0
https://doi.org/10.1007/s00283-022-10191-0
Autor:
Álvaro Lozano-Robledo
Publikováno v:
Journal of Number Theory. 221:270-338
In this article, we propose a new probabilistic model for the distribution of ranks of elliptic curves in families of fixed Selmer rank, and compare the predictions of our model with previous results, and with the databases of curves over the rationa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::533d926b6abb6522471e49515a30b4f3
https://doi.org/10.1016/j.jnt.2020.05.022
https://doi.org/10.1016/j.jnt.2020.05.022
Autor:
Álvaro Lozano-Robledo, Garen Chiloyan
Publikováno v:
Transactions of the London Mathematical Society, Vol 8, Iss 1, Pp 1-34 (2021)
Let E be a Q‐isogeny class of elliptic curves defined over Q. The isogeny graph associated to E is a graph which has a vertex for each elliptic curve in the Q‐isogeny class E, and an edge for each cyclic Q‐isogeny of prime degree between ellipt
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::86c2d1cb26357f7fa3705b6cbd0c23f6
https://doi.org/10.1112/tlm3.12024
https://doi.org/10.1112/tlm3.12024
Publikováno v:
Journal de Théorie des Nombres de Bordeaux. 32:231-258
In this article we extend work of Shanks and Washington on cyclic extensions, and elliptic curves associated to the simplest cubic fields. In particular, we give families of examples of hyperelliptic curves $C: y^2=f(x)$ defined over $\mathbb{Q}$, wi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::595c89c82f3ccf36e70dc458f79a0222
https://doi.org/10.5802/jtnb.1120
https://doi.org/10.5802/jtnb.1120
Publikováno v:
Mathematics of Computation. 87:1457-1478
Let E be an elliptic curve defined over Q and let G = E(Q)_tors be the associated torsion subgroup. We study, for a given G, which possible groups G
In this new version we fix some errors in Table 5
In this new version we fix some errors in Table 5
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1ed1d4b7e1753680c030152094c2d9c4
https://doi.org/10.1090/mcom/3235
https://doi.org/10.1090/mcom/3235
Let $\mathcal{X} : y^2 = f(x)$ be a hyperelliptic curve over $\mathbb{Q}(T)$ of genus $g\geq 1$. Assume that the jacobian of $\mathcal{X}$ over $\mathbb{Q}(T)$ has no subvariety defined over $\mathbb{Q}$. Denote by $\mathcal{X}_t$ the specialization
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b9b4abfee18ecc71ad6686eee593530b
http://arxiv.org/abs/1906.09407
http://arxiv.org/abs/1906.09407
Autor:
Álvaro Lozano-Robledo
Geometry and the theory of numbers are as old as some of the oldest historical records of humanity. Ever since antiquity, mathematicians have discovered many beautiful interactions between the two subjects and recorded them in such classical texts as
Publikováno v:
Journal of Number Theory. 157:367-396
The theory of complex multiplication has proven to be an essential tool in number theory, mainly due to the connections with class field theory developed by Kronecker, Weber, Fricke, Hasse, Deuring, and Shimura, among others. Certain important result
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1ffecd03739aca4b592bde4ee1ca14c8
https://doi.org/10.1016/j.jnt.2015.05.009
https://doi.org/10.1016/j.jnt.2015.05.009
Publikováno v:
Notices of the American Mathematical Society. 64:241-243
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5b59fbfd208255ced7776e35e9d56329
https://doi.org/10.1090/noti1490
https://doi.org/10.1090/noti1490