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math.AG2018
Good recursive towers over prime fields exist
Alp Bassa, Christophe Ritzenthaler
We give a construction and equations for good recursive towers over any finite field with and .
math.NT2018
Principally polarized squares of elliptic curves with field of moduli equal to Q
Alexandre Gélin, Everett W. Howe, Christophe Ritzenthaler
We give equations for 13 genus-2 curves over , with models over , whose unpolarized Jacobians are isomorphic to the square of an elliptic curve w…