On the number of points over finite fields on varieties related to cluster algebras

Frédéric Chapoton (1)

1 ICJ - Institut Camille Jordan

We compute the number of points over finite fields of some algebraic varieties related to cluster algebras of finite type. More precisely, these varieties are the fibers of the projection map from the cluster variety to the affine space of coefficients.

Mots clés: cluster algebra; cohomology; points over finite fields

Domaines: Algèbres quantiques [math.QA]

Frédéric Chapoton. On the number of points over finite fields on varieties related to cluster algebras. Glasgow Mathematical Journal, 2011, 53, pp.141-151. ⟨10.1017/S0017089510000777⟩. ⟨hal-00440820⟩