TY - JOUR
T1 - Large Galois images for Jacobian varieties of genus 3 curves
AU - Arias-De-Reyna, Sara
AU - Armana, Cécile
AU - Karemaker, Valentijn
AU - Rebolledo, Marusia
AU - Thomas, Lara
AU - Vila, Núria
PY - 2016/8/5
Y1 - 2016/8/5
N2 - Given a prime number , we construct an infinite family of three-dimensional abelian varieties over such that, for any in the family, the Galois representation attached to the -torsion of is surjective. Any such variety will be the Jacobian of a genus curve over whose respective reductions at two auxiliary primes are prescribed to provide us with generators of .
AB - Given a prime number , we construct an infinite family of three-dimensional abelian varieties over such that, for any in the family, the Galois representation attached to the -torsion of is surjective. Any such variety will be the Jacobian of a genus curve over whose respective reductions at two auxiliary primes are prescribed to provide us with generators of .
UR - http://www.scopus.com/inward/record.url?scp=84983593575&partnerID=8YFLogxK
U2 - 10.4064/aa8250-4-2016
DO - 10.4064/aa8250-4-2016
M3 - Article
AN - SCOPUS:84983593575
SN - 0065-1036
VL - 174
SP - 339
EP - 366
JO - Acta Arithmetica
JF - Acta Arithmetica
IS - 4
ER -