Large Galois images for Jacobian varieties of genus 3 curves

Autor: Arias-de-Reyna, Sara, Armana, Cécile, Karemaker, Valentijn, Rebolledo, Marusia, Thomas, Lara, Vila, Núria

Given a prime number l greater than or equal to 5, we construct an infinite family of three-dimensional abelian varieties over Q such that, for any A/Q in the family, the Galois representation \rho_{A, l}: Gal_Q -> GSp(6, l) attached to the l-torsion

Externí odkaz: http://arxiv.org/abs/1507.05913

Galois representations and Galois groups over Q

Autor: Arias-de-Reyna, Sara, Armana, Cécile, Karemaker, Valentijn, Rebolledo, Marusia, Thomas, Lara, Vila, Núria

In this paper we generalize results of P. Le Duff to genus n hyperelliptic curves. More precisely, let C/Q be a hyperelliptic genus n curve and let J(C) be the associated Jacobian variety. Assume that there exists a prime p such that J(C) has semista

Externí odkaz: http://arxiv.org/abs/1407.5802

Module supersingulier et homologie des courbes modulaires

Autor: Rebolledo, Marusia

Publikováno v: In Journal of Number Theory 2006 121(2):234-264

Large Galois images for Jacobian varieties of genus 3 curves

Autor: Arias-De-Reyna, Sara, Armana, Cécile, Karemaker, Valentijn, Rebolledo, Marusia, Thomas, Lara, Vila, Núria, Sub Fundamental Mathematics, Fundamental mathematics

Publikováno v: Acta Arithmetica
Acta Arithmetica, 2016, 174 (4), pp.101-132. ⟨10.4064/aa8250-4-2016⟩
idUS. Depósito de Investigación de la Universidad de Sevilla
instname
Acta Arithmetica, 174(4), 339. Instytut Matematyczny
Acta Arithmetica, 174, 339-366. Warszawa, Poland: Seminarjum Matematyczne Uniwersytetu (2016).
Acta Arithmetica, Instytut Matematyczny PAN, 2016, 174 (4), pp.339-366. ⟨10.4064/aa8250-4-2016⟩

Given a prime number l greater than or equal to 5, we construct an infinite family of three-dimensional abelian varieties over Q such that, for any A/Q in the family, the Galois representation ��_{A, l}: Gal_Q -> GSp(6, l) attached to the l-torsi

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e295362483afbfe9daf22f97d7a7101f
https://hal.science/hal-01287556/file/Acta-Wine.pdf

Galois representations and Galois groups over Q

Autor: Arias-de-Reyna, Sara, Armana, Cécile, Karemaker, Valentijn, Rebolledo, Marusia, Thomas, Lara, Vila, Núria, Bertin, Marie José, Bucur, Alina, Feigon, Brooke, Schneps, Leila, Sub Fundamental Mathematics, Fundamental mathematics

Publikováno v: Women in Numbers Europe; Research Directions in Number Theory
Women in Numbers Europe; Research Directions in Number Theory, 2, Springer International Publishing, 2015, Association for Women in Mathematics Series, 978-3-319-17987-2. ⟨10.1007/978-3-319-17987-2_8⟩
Women in Numbers Europe; Research Directions in Number Theory, Springer International Publishing, 2015, Association for Women in Mathematics Series, 978-3-319-17987-2. ⟨10.1007/978-3-319-17987-2_8⟩
In M. J., Bertin, A., Bucur, B., Feigon, & L., Schneps (Eds.), Women in Numbers Europe Research Directions in Number Theory (pp. 191-205). Springer (2015).
Women in Numbers Europe, 2(1), 191. Springer Cham
Association for Women in Mathematics Series ISBN: 9783319179865
idUS. Depósito de Investigación de la Universidad de Sevilla
instname

In this paper we generalize results of P. Le Duff to genus n hyperelliptic curves. More precisely, let C/Q be a hyperelliptic genus n curve and let J(C) be the associated Jacobian variety. Assume that there exists a prime p such that J(C) has semista

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::736937451d6e5cf22812e0d14ba0f4d1
https://idus.us.es/xmlui/handle/11441/48457