Affiliation:
1. Danish National Library of Science and Medicine, Nørre Allé 49, 2200 København N, DK, Denmark
Abstract
This paper considers non-commutative curves, introduces a divisor class group and a degree map, proves a Riemann-Roch theorem, and solves the Riemann-Roch problem. These results are then used to prove the zeta function of a non-commutative curve over a finite field satisfies the two first Weil conjectures.
Publisher
World Scientific Pub Co Pte Lt
Subject
Applied Mathematics,Algebra and Number Theory