JP Journal of Algebra, Number Theory and Applications
Volume 27, Issue 2, Pages 109 - 129
(December 2012)
|
|
MODULAR STRUCTURE OF SEMISIMPLE DIFFERENTIALS WITH PRESCRIBED POLES
Fausto JarquÃn Zárate and Gabriel Villa Salvador
|
Abstract: Let pbe a prime number and be any finite Galois p-extension of function fields of one variable with field of constants k, an algebraically closed field of characteristic p. In this paper, we obtain the Galois module structure of the module generated by the differentials fixed by the action of the Cartier operator whose poles are contained in the support of the modulus of L, which is induced by an arbitrary divisor in K, and of the module of the differentials fixed by the action of the Cartier operator. That is, we obtain explicitly the decomposition of and of as a direct sum of indecomposable -modules and -modules, respectively, for any divisor in Linduced by a divisor in K. |
Keywords and phrases: |
|
Number of Downloads: 410 | Number of Views: 1138 |
|