A Weil theorem for singular curves

Yves Aubry (1) , Marc Perret (2)

1 IML - Institut de mathématiques de Luminy
2 ENS de Lyon - École normale supérieure de Lyon

We generalize Weil's theorem on the number of rational points of smooth curves over a finite field to singular ones.

Domaines: Géométrie algébrique [math.AG]

Yves Aubry, Marc Perret. A Weil theorem for singular curves. Contemporary mathematics, 1996, Walter de Gruyter, pp.1--8. ⟨10.1515/9783110811056.1⟩. ⟨hal-00976485⟩