154 citations
- Institute for High Energy PhysicsES7 papers
- Universitat de BarcelonaES4 papers
- CEA Paris-SaclayFR2 papers
- Commissariat à l'Énergie Atomique et aux Énergies AlternativesFR2 papers
- Institució Catalana de Recerca i Estudis AvançatsES2 papers
- Institute of Photonic SciencesES2 papers
- Leibniz University HannoverDE2 papers
- Queen's University BelfastGB2 papers
- Universidad Carlos III de MadridES2 papers
- Universidad de CádizES2 papers
- University of California, Santa BarbaraUS2 papers
- University of GenevaCH2 papers
6 papers · 1 filter
Newton polygons of higher order in algebraic number theory
Jordi Guardia, Jesus Montes, Enric Nart
We develop a theory of arithmetic Newton polygons of higher order, that provides the factorization of a separable polynomial over a -adic field, together with relevant arithmeti…
Zeta function and cryptographic exponent of supersingular curves of genus 2
Gabriel Cardona, Enric Nart
We compute in a direct (not algorithmic) way the zeta function of all supersingular curves of genus 2 over a finite field k, with many geometric automorphisms. We display these com…
On Jannsen's conjecture for Hecke characters of imaginary quadratic fields
Francesc Bars
We present a collection of results on a conjecture of Jannsen about the -adic realizations associated to Hecke characters over an imaginary quadratic field of class number 1…
Galois actions on Q-curves and Winding Quotients
Francesc Bars, Luis Dieulefait
We prove two "large images" results for the Galois representations attached to a degree Q-curve over a quadratic field : if is arbitrary, we prove maximality of the…
Non hyperelliptic curves of genus three over finite fields of characteristic two
Enric Nart, Christophe Ritzenthaler
Let k=F_q be a finite field of even characteristic. We obtain in this paper a complete classification, up to k-isomorphism, of non singular quartic plane curves defined over k. We…
Curves of genus two over fields of even characteristic
Gabriel Cardona, Enric Nart, Jordi Pujolas
In this paper we classify curves of genus two over a perfect field k of characteristic two. We find rational models of curves with a given arithmetic structure for the ramification…