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Galois module structure of holomorphic differentials

Published online by Cambridge University Press:  17 April 2009

Martha Rzedowski-Calderón ,
Gabriel Villa-Salvador  and
Manohar L. Madan
Martha Rzedowski-Calderón
Affiliation:
Departmento de Matemáticas, Centro de Investigación y de, Estudios A vanzados del I.P.N., Apartado Postal 14–740, 07000 México, D.F. México e-mail: mrzedows@math.cinvestav.mxvilla@mamth.cinvestav.mx.
Gabriel Villa-Salvador
Affiliation:
Departmento de Matemáticas, Centro de Investigación y de, Estudios A vanzados del I.P.N., Apartado Postal 14–740, 07000 México, D.F. México e-mail: mrzedows@math.cinvestav.mxvilla@mamth.cinvestav.mx.
Manohar L. Madan
Affiliation:
Department of Mathematics, Ohio State University, 231 West 18th. Avenue, Columbus, OH 43210, United States of America e-mail: madan@math.ohio–state.edu
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Abstract

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For a finite cyclic P–extension L/K of a rational function field K = κ(x) over an algebraically closed field κ of characteristic P > 0 such that every ramified prime divisor is fully ramified, we find a basis of the κ[G]-module structure of ωL(0) in terms of indecomposable modules.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 62 , Issue 3 , December 2000 , pp. 493 - 509
Copyright
Copyright © Australian Mathematical Society 2000

References

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