most citedFrom Hodge Index Theorem to the number of points of curves over finite fields

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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…