Galois module structure of generalized jacobians.

G. D. Villa-Salvador; M. Rzedowski-Calderón

Revista Matemática de la Universidad Complutense de Madrid (1997)

  • Volume: 10, Issue: 1, page 39-51
  • ISSN: 1139-1138

Abstract

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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.

How to cite

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Villa-Salvador, G. D., and Rzedowski-Calderón, M.. "Galois module structure of generalized jacobians.." Revista Matemática de la Universidad Complutense de Madrid 10.1 (1997): 39-51. <http://eudml.org/doc/44246>.

@article{Villa1997,
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 &lt;&gt; 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.},
author = {Villa-Salvador, G. D., Rzedowski-Calderón, M.},
journal = {Revista Matemática de la Universidad Complutense de Madrid},
keywords = {Representación de grupos; Grupos finitos; Jacobianos; Generalización; Estructuras modulares; Teoría de Galois; Galois modules; projective curves; group cohomology; Galois extension of function fields; generalized Jacobians},
language = {eng},
number = {1},
pages = {39-51},
title = {Galois module structure of generalized jacobians.},
url = {http://eudml.org/doc/44246},
volume = {10},
year = {1997},
}

TY - JOUR
AU - Villa-Salvador, G. D.
AU - Rzedowski-Calderón, M.
TI - Galois module structure of generalized jacobians.
JO - Revista Matemática de la Universidad Complutense de Madrid
PY - 1997
VL - 10
IS - 1
SP - 39
EP - 51
AB - 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 &lt;&gt; 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.
LA - eng
KW - Representación de grupos; Grupos finitos; Jacobianos; Generalización; Estructuras modulares; Teoría de Galois; Galois modules; projective curves; group cohomology; Galois extension of function fields; generalized Jacobians
UR - http://eudml.org/doc/44246
ER -

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