The behavior of differential forms under purely inseparable extensions |
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Authors: | Roberto Aravire Ahmed Laghribi Manuel ORyan |
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Affiliation: | 1. Universidad Arturo Prat, Facultad de Ingeniería y Arquitectura, Instituto de Ciencias Exactas y naturales, Casilla 121, Iquique, Chile;2. Université d''Artois, Faculté des Sciences Jean Perrin, Laboratoire de mathématiques de Lens EA 2462, rue Jean Souvraz - SP18, 62307 Lens, France;3. Universidad de Talca, Instituto de Matemática y Física, Casilla 721, Talca, Chile |
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Abstract: | Let F be a field of characteristic 2. In this paper we give a complete computation of the kernel of the homomorphism induced by scalar extension, where is a purely inseparable extension (of any degree), is the cokernel of the Artin–Schreier operator given by: , where is the space of absolute m-differential forms over F and d is the differential operator. Other related results are included. |
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Keywords: | 11E04 11E81 |
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