Galois module structure of holomorphic differentials in characteristic \(p\) (Q1924594)
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scientific article; zbMATH DE number 937060
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Galois module structure of holomorphic differentials in characteristic \(p\) |
scientific article; zbMATH DE number 937060 |
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Galois module structure of holomorphic differentials in characteristic \(p\) (English)
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22 November 1996
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Let \(k\) be an algebraically closed field of characteristic \(p>0\). For a class of elementary abelian \(p\)-extensions of \(k(x)\) with Galois group \(G\), the structure of the set of holomorphic differentials is determined explicitly as a \(k[G]\)-module.
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elementary abelian extensions of function fields
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Galois group
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holomorphic differentials
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