Zobrazeno 1 - 7
of 7
pro vyhledávání: '"11G10, 14K22"'
Autor:
Reyes-Carocca, Sebastián
Let $m \geqslant 6$ be an even integer. In this short note we prove that the Jacobian variety of a quasiplatonic Riemann surface with associated group of automorphisms isomorphic to $C_2^2 \rtimes_2 C_m$ admits complex multiplication. We then extend
Externí odkaz:
http://arxiv.org/abs/2010.08481
Autor:
Gross, Benedict H
In this expository paper, we review the formula of Chowla and Selberg for the periods of elliptic curves with complex multiplication, and discuss two methods of proof. One uses Kronecker's limit formula and the other uses the geometry of a family of
Externí odkaz:
http://arxiv.org/abs/2005.04194
Autor:
Arora, Sonny, Eisentraeger, Kirsten
Publikováno v:
Open Book Series 2 (2019) 21-36
We give a new algorithm for constructing Picard curves over a finite field with a given endomorphism ring. This has important applications in cryptography since curves of genus 3 allow for smaller key sizes than elliptic curves. For a sextic CM-field
Externí odkaz:
http://arxiv.org/abs/1803.00514
Autor:
Boyer, Ivan
In \emph{Endomorphism Algebras of Jacobians}, Ellenberg gives group theory tools to construct jacobians of curves with real multiplication. He shows the existence of curves and family of curves with real multiplication by subfields of cyclotomic fiel
Externí odkaz:
http://arxiv.org/abs/1310.2582
Autor:
Sebastián Reyes-Carocca
Publikováno v:
Geometriae Dedicata. 213:245-249
Let $m \geqslant 6$ be an even integer. In this short note we prove that the Jacobian variety of a quasiplatonic Riemann surface with associated group of automorphisms isomorphic to $C_2^2 \rtimes_2 C_m$ admits complex multiplication. We then extend
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e4f619d82a3ea8411ae5dd48128db0d5
https://doi.org/10.1007/s10711-020-00577-9
https://doi.org/10.1007/s10711-020-00577-9
Autor:
Benedict H. Gross
Publikováno v:
Notices of the International Congress of Chinese Mathematicians. 8:10-18
In this expository paper, we review the formula of Chowla and Selberg for the periods of elliptic curves with complex multiplication, and discuss two methods of proof. One uses Kronecker's limit formula and the other uses the geometry of a family of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9b76b471d172e815c925a8bcfe12d902
https://doi.org/10.4310/iccm.2020.v8.n2.a2
https://doi.org/10.4310/iccm.2020.v8.n2.a2
Autor:
Kirsten Eisenträger, Sonny Arora
We give a new algorithm for constructing Picard curves over a finite field with a given endomorphism ring. This has important applications in cryptography since curves of genus 3 allow for smaller key sizes than elliptic curves. For a sextic CM-field
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::697c94ab17b597920bd64786b4d7706a