127 citations
- Université de RennesFR109 papers
- Centre National de la Recherche ScientifiqueFR48 papers
- Institut national de recherche en sciences et technologies du numériqueFR15 papers
- Laboratoire d’Analyse et de Mathématiques AppliquéesFR14 papers
- Institut National des Sciences Appliquées de RennesFR11 papers
- Laboratoire de Mathématiques Blaise PascalFR10 papers
- Sorbonne UniversitéFR9 papers
- École PolytechniqueFR7 papers
- Laboratoire de Mathématiques Jean LerayFR7 papers
- Université Paris CitéFR7 papers
- Centre de Recherche en Mathématiques de la DécisionFR6 papers
- École Normale Supérieure de RennesFR6 papers
17 papers · 1 filter
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…
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…
On the conductor of Ciani plane quartics
Irene Bouw, Nirvana Coppola, Elisa Lorenzo García +1
In this paper we determine the conductor exponent of non-special Ciani quartics at primes of potentially good reduction in terms of the Ciani invariants. As an intermediate step in…
Non-ordinary curves with a Prym variety of low -rank
Turku Ozlum Celik, Yara Elias, Burcin Gunes +4
If is an unramified double cover of a smooth curve of genus , then the Prym variety is a principally polarized abelian variety of dimension . When is…
Characteristic polynomials of p-adic matrices
Xavier Caruso, David Roe, Tristan Vaccon
We analyze the precision of the characteristic polynomial of an p-adic matrix A using differential precision methods developed previously. When A is integral with preci…
Some algorithms for skew polynomials over finite fields
Xavier Caruso, Jérémy Le Borgne
In this paper, we study the arithmetics of skew polynomial rings over finite fields, mostly from an algorithmic point of view. We give various algorithms for fast multiplication, d…