2 papers
math.NT2006
Classification of genus 3 curves in special strata of the moduli space
Martine Girard, David R. Kohel
We describe the invariants of plane quartic curves -- nonhyperelliptic genus 3 curves in their canonical model -- as determined by Dixmier and Ohno, with application to the classif…
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.