Bergman kernels on resolutions of isolated singularities (Q5946658)
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scientific article; zbMATH DE number 1659352
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Bergman kernels on resolutions of isolated singularities |
scientific article; zbMATH DE number 1659352 |
Statements
Bergman kernels on resolutions of isolated singularities (English)
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10 October 2002
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resolutions of isolated singularities
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Bergman kernel
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Let \((V,p)\) be a 2-dimensional Gorenstein singularity and let \(\pi:M\to V\) be a resolution of \(\{p\}\) with exceptional set \(E\subset M\).NEWLINENEWLINENEWLINEThe authors show that, in this situation, the minimal set of the Bergman kernel coincides with \(E\).NEWLINENEWLINENEWLINEDifferent constructions are provided according to the vanishing (resp. non vanishing) of the geometric genus of \((V,p)\).
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