8 citations · 11 across the 4 of their papers we have counts for
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math.NT2005
The Weierstrass subgroup of a curve has maximal rank
Martine Girard, David R. Kohel, Christophe Ritzenthaler
We show that the Weierstrass points of the generic curve of genus over an algebraically closed field of characteristic 0 generate a group of maximal rank in the Jacobian.
math.NT2005★ 8 cited
The -adic CM-method for genus 2
P. Gaudry, T. Houtmann, D. Kohel +2
We present a nonarchimedian method to construct hyperelliptic CM-curves of genus 2.
math.NT2003★ 2 cited
Non hyperelliptic curves of genus three over finite fields of characteristic two
Enric Nart, Christophe Ritzenthaler
Let k=F_q be a finite field of even characteristic. We obtain in this paper a complete classification, up to k-isomorphism, of non singular quartic plane curves defined over k. We…