23 citations · 180 across the 35 of their papers we have counts for
43 papers
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…
Refined Humbert invariants and subvarieties of $\Ac_2(\C)$: the rank 3 case
Elisa Lorenzo García, Christophe Ritzenthaler
Over the complex field, we show that the principally polarised abelian surfaces with a given refined Humbert invariant of rank 3 are all Galois conjugated.
An arithmetic intersection for squares of elliptic curves with complex multiplication
Elisa Lorenzo García, Christophe Ritzenthaler, Fernando Rodríguez Villegas
Let be a genus curve with Jacobian isomorphic to the square of an elliptic curve with complex multiplication by a maximal order in an imaginary quadratic field of discrimin…
Refinements of Katz-Sarnak theory for the number of points on curves over finite fields
Jonas Bergström, Everett W. Howe, Elisa Lorenzo García +1
This paper goes beyond Katz-Sarnak theory on the distribution of curves over finite fields according to their number of rational points, theoretically, experimentally and conjectur…
Lower bounds on the maximal number of rational points on curves over finite fields
Jonas Bergström, Everett W. Howe, Elisa Lorenzo García +1
For a given genus , we give lower bounds for the maximal number of rational points on a smooth projective absolutely irreducible curve of genus over .…
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…