Three-dimensional isolated quotient singularities in odd characteristic (Q2821902)
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scientific article; zbMATH DE number 6629513
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Three-dimensional isolated quotient singularities in odd characteristic |
scientific article; zbMATH DE number 6629513 |
Statements
Three-dimensional isolated quotient singularities in odd characteristic (English)
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26 September 2016
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quotient singularity
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modular representation
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pseudo-reflection
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transvection
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Let \(k\) be an algebraically closed field of characteristic \(p>2\). Let \(V\) be an algebraic variety defined over \(k\) and \(G\) be a finite group acting on \(V\) such that \(V/G\) has at most isolated singularities. The classification of the corresponding singularities over \(\mathbb{C}\) can be found in the book of \textit{J. A. Wolf} [Spaces of constant curvature. 3rd ed. Boston, Mass.: Publish or Perish, Inc. (1974; Zbl 0281.53034)]. It is proved that for \(V\) being of dimension \(3\) the classification reduces to this classification.
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