23 citations · 180 across the 35 of their papers we have counts for
16 papers · 1 filter
A complete curve of genus 10 in the moduli space of curves of genus 3 and related questions
Samuel Grushevsky, Christophe Ritzenthaler
We show the existence of a complete trigonal curve of geometric genus 10 in the moduli space of smooth complex projective curves of genus , and of a complete cur…
Functionality for isomorphism classes of curves and hypersurfaces
Thomas Bouchet, Reynald Lercier, Jeroen Sijsling +1
We describe algorithms based on invariant theory to solve problems on the geometry of curves, mainly those of genus 2, 3 and 4. New theoretical results building on the first author…
Decomposing Jacobians via Galois covers
Davide Lombardo, Elisa Lorenzo García, Christophe Ritzenthaler +1
Let be a (possibly ramified) cover between two algebraic curves of positive genus. We develop tools that may identify the Prym variety of , up to isogeny, a…
Stable models of plane quartics with hyperelliptic reduction
Reynald Lercier, Elisa Lorenzo García, Christophe Ritzenthaler
Let C/K: F = 0 be a smooth plane quartic over a complete discrete valuation field K. In a previous paper the authors togetehr with Q. Liu give various characterizations of the redu…
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 .
On the Prym variety of genus 3 covers of genus 1 curves
Christophe Ritzenthaler, Matthieu Romagny
Given a generic degree-2 cover of a genus 1 curve D by a non hyperelliptic genus 3 curve C over a field k of characteristic different from 2, we produce an explicit genus 2 curve X…