Character sums associated to finite Coxeter groups

J. Denef , F. Loeser (1)

1 DMA - Département de Mathématiques et Applications - ENS Paris

We prove a character sum identity for Coxeter arrangements which is a finite field analogue of Macdonald\'s conjecture proved by Opdam.

Domaines: Géométrie algébrique [math.AG]

J. Denef, F. Loeser. Character sums associated to finite Coxeter groups. Transactions of the American Mathematical Society, 1998, 350, pp.5047-5066. ⟨10.1090/S0002-9947-98-02025-X⟩. ⟨hal-00005690⟩