8 citations · 30 across the 15 of their papers we have counts for
16 papers
Generic ordinarity for abelian coverings of the projective line
Régis Blache
We show that abelian coverings of the projective line of order prime to are generically -ordinary in characteristic . The images of the irreducible components of Hurwitz…
Ruled surfaces over finite fields, and some codes over them
Régis Blache, Emmanuel Hallouin
In the first part of this article, we consider ruled surfaces defined over a finite field; we introduce invariants for them, and describe some explicit contructions that illustrate…
Classification of singular del Pezzo surfaces over finite fields
Régis Blache, Emmanuel Hallouin
In this article, we consider weak del Pezzo surfaces defined over a finite field, and their associated, singular, anticanonical models. We first define arithmetic types for such su…
Construction of good codes from weak Del Pezzo surfaces
Régis Blache, Emmanuel Hallouin
We construct algebraic geometric codes from weak del Pezzo surfaces. The codes are associated to the anti-canonical class of the anti-canonical model and to the set of rational poi…
Zeta functions of quadratic Artin-Schreier curves in characteristic two
Régis Blache, Timothé Pierre
The aim of this paper is twofold: on one hand we study the invariants of traces of quadratic forms over a finite field of characteristic two. On the other hand, we give results abo…
Anticanonical codes from del Pezzo surfaces with Picard rank one
Régis Blache, Alain Couvreur, Emmanuel Hallouin +4
We construct algebraic geometric codes from del Pezzo surfaces and focus on the ones having Picard rank one and the codes associated to the anticanonical class. We give explicit co…