302 citations
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math.AG2014★ 19 cited
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…
math.AG2011★ 12 cited
The Geometry of Flex Tangents to a Cubic Curve and its Parameterizations
Jean-Marc Couveignes, Jean-Gabriel Kammerer
We show how the study of the geometry of the nine flex tangents to a cubic produces pseudo-parameterizations, including the ones given by Icart, Kammerer, Lercier, Renault and Fara…