Existence and degeneration of Kähler-Einstein metrics on minimal algebraic varieties of general ype (Q1094691)
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scientific article; zbMATH DE number 4026298
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence and degeneration of Kähler-Einstein metrics on minimal algebraic varieties of general ype |
scientific article; zbMATH DE number 4026298 |
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Existence and degeneration of Kähler-Einstein metrics on minimal algebraic varieties of general ype (English)
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1988
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The author proves that every smooth minimal algebraic variety of general type over \({\mathbb{C}}\) has a canonical singular Kähler-Einstein metric of negative scalar curvature which depends nicely under smooth deformations. This Kähler-Einstein metric has singularity along the stable exceptional locus of the pluricanonical system. The author uses Hamilton's heat flow to construct the Kähler-Einstein metrics.
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minimal algebraic variety of general type
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Kähler-Einstein metric
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Hamilton's heat flow
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