1 citations · 2 across the 5 of their papers we have counts for
6 papers
On the computation of endomorphism rings of abelian surfaces over finite fields
Samuele Anni, Gaetan Bisson, Annamaria Iezzi +2
We study endomorphism rings of principally polarized abelian surfaces over finite fields from a computational viewpoint with a focus on exhaustiveness. In particular, we address th…
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…
Reduction of Plane Quartics and Dixmier-Ohno invariants
Raymond van Bommel, Jordan Docking, Reynald Lercier +1
We characterise, in terms of Dixmier-Ohno invariants, the types of singularities that a plane quartic curve can have. We then use these results to obtain new criteria for determini…
On invariants of Artin-Schreier curves
Juanita Duque-Rosero, Heidi Goodson, Elisa Lorenzo García +2
The main goal of this article is to expand the theory of invariants of Artin-Schreier curves by giving a complete classification in genus 3 and 4. To achieve this goal, we first es…
Explicit height estimates for CM curves of genus 2
Linda Frey, Samuel Le Fourn, Elisa Lorenzo García
In this paper we make explicit the constants of Habegger and Pazuki's work from 2017 on bounding the discriminant of cyclic Galois CM fields corresponding to genus 2 curves with CM…
Counter-examples to the Hasse principle among the twists of the Klein quartic
Elisa Lorenzo García, Michaël Vullers
In this paper we inspect from closer the local and global points of the twists of the Klein quartic. For the local ones we use geometric arguments, while for the global ones we str…