Independence of l in Lafforgue's theorem

• Published in: arXiv.org
• Main Author: Chin, CheeWhye
• Format: Paper
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 25.06.2002
• Subjects: Fields (mathematics); Number theory; Polynomials; Prime numbers; Sheaves; Theorems

Let X be a smooth curve over a finite field of characteristic p, let l be a prime number different from p, and let L be an irreducible lisse l-adic sheaf on X whose determinant is of finite order. By a theorem of Lafforgue, for each prime number l' different from p, there exists an irreducible...