E. Hallouin

activity

20022025

most citedGlobal descent obstructions for varieties

1 citations · 2 across the 12 of their papers we have counts for

collaborators

Showing 2023Show all

3 papers · 1 filter

math.AG2023

Integral points on elliptic curves with $j$ -invariant $0$ over $k (t)$

Jean Gillibert, Emmanuel Hallouin, Aaron Levin

We consider elliptic curves defined by an equation of the form $y^{2} = x^{3} + f (t)$ , where $f \in k [t]$ has coefficients in a perfect field $k$ of characteristic not $2$ or $3$ . By perfor…

math.AG2023

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…

math.AG2023

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…

Integral points on elliptic curves with j-invariant 0 over k(t)

Classification of singular del Pezzo surfaces over finite fields

Construction of good codes from weak Del Pezzo surfaces

Integral points on elliptic curves with $j$ -invariant $0$ over $k (t)$