19 citations · 22 across the 3 of their papers we have counts for
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A strategy and a new operator to generate covariants in small characteristic
Florent Ulpat Rovetta
We present some new results about covariants in small characteristic. In section 1, we give a method to construct covariants using an approach similar to Sturmfels. We apply our me…
Distributions of traces of Frobenius for smooth plane curves over finite fields
Reynald Lercier, Christophe Ritzenthaler, Florent Rovetta +2
In a previous article, we obtained data on the distribution of traces of Frobenius of non-hyperelliptic genus curves over small finite fields. In the present one, we give a heu…
Parametrizing the moduli space of curves and applications to smooth plane quartics over finite fields
Reynald Lercier, Christophe Ritzenthaler, Florent Rovetta +1
We study new families of curves that are suitable for efficiently parametrizing their moduli spaces. We explicitly construct such families for smooth plane quartics in order to det…