GIT-equivalence and diagonal actions (Q764037)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | GIT-equivalence and diagonal actions |
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GIT-equivalence and diagonal actions (English)
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13 March 2012
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Let \(V\) be a finite dimensional vector space over the field of complex numbers. The author constructs the GIT-fans for the diagonal actions of \({\mathrm {SL}}(V)\) on \({\mathbb P}(V)^{m_1}\times {\mathbb P}(V^*)^{m_2}\) and, for \(\dim V\geqslant 3\), of \({\mathrm {SO}}(V)\) on \({\mathbb P}(V)^m\).
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linearized linear bundle
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projective variety
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linear algebraic group
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diagonal action
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GIT-equivalence
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Picard group
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fan cones
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GIT fan
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