Singular supports for character sheaves on a group compactification. (Q2427025)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Singular supports for character sheaves on a group compactification. |
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Singular supports for character sheaves on a group compactification. (English)
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14 May 2008
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Let \(G\) be a semi-simple group of adjoint type over an algebraically closed field of characteristic zero. Let \(X\) be its De Concini-Procesi completion, also known as the wonderful compactification. Using a moment map the authors define a Lagrangian subvariety of the cotangent bundle \(T^*X\) and show that it contains the singular support of any character sheaf.
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perverse sheaves
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character sheaves
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Lagrangian subvarieties
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singular supports
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moment maps
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wonderful compactification
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