Full paper in PDF:
$%G. D. Villa-Salvador and M. Rzedowski-Calderón, Galois module structure of generalized Jacobians, Rev. Mat. Univ. Complut. Madrid 10 (1997), no. 1, 39–51.%$

Galois Module Structure of Generalized Jacobians
Gabriel D. VILLA-SALVADOR and Martha RZEDOWSKI-CALDERÓN
Departamento de Matemáticas
Centro de Investigación y
de Estudios Avanzados del I.P.N.
Apartado Postal 14-740
07000 México D.F. — Mexico
villa@math.cinvestav.mx mrzedows@math.cinvestav.mx

Received: December 5, 1995
Revised: June 17, 1996
ABSTRACT

For a prime number l and for a finite Galois l -extension of function fields L/K over an algebraically closed field of characteristic p /= l , it is obtained the Galois module structure of the generalized Jacobian associated to L , l , and the ramified prime divisors. In the cyclic case an implicit integral representation of the Jacobian is obtained and this representation is compared with the explicit representation.

1991 Mathematics Subject Classification: 11R58, 20C10, 20C11.