Desingularization of singular hyperkähler varieties. I (Q1364792)
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| Language | Label | Description | Also known as |
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| English | Desingularization of singular hyperkähler varieties. I |
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Desingularization of singular hyperkähler varieties. I (English)
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19 April 1998
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Let \(M\) be a singular hyperkähler variety, obtained as a moduli space of stable holomorphic bundles on a compact hyperkähler manifold. Consider \(M\) as a complex variety in one of the complex structures induced by the hyperkähler structure. We show that normalization of \(M\) is smooth, hyperkähler and does not depend on the choice of induced complex structure.
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singular hyperkähler variety
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stable holomorphic bundle
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normalization locally homogeneous singularity
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desingularization
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