IJPAM: Volume 78, No. 7 (2012)
WITH INFINITELY MANY AUTOMORPHISMS
Universidad Autónoma Metropolitana-I
Departamento de Matemáticas
09340, México D.F., México
Departamento de Control Automático
Apartado postal 14-740
07000, México, D.F., México
Abstract. Let be a separable geometric extension such that the pole divisor of is ramified. Let be a function field of genus at least one such that is infinite. If is elliptic we suppose that the characteristic is zero. The main result of the paper is that there are infinitely many non-isomorphic function fields over such that is a Galois extension and .
Received: February 15, 2012
AMS Subject Classification: 11R58, 11R32, 12F12, 14H52
Key Words and Phrases: inverse Galois problem, geometric extension, infinite automorphism group, moduli field, -improvement
Download paper from here.
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395