Boundary asymptotics of the relative Bergman kernel metric for hyperelliptic curves
We survey variations of the Bergman kernel and their asymptotic behaviors at degeneration. For a Legendre family of elliptic curves, the curvature form of the relative Bergman kernel metric is equal to the Poincaré metric on ℂ \ {0,1}. The cases of other elliptic curves are either the same or trivia...
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| Format: | Article |
| Language: | English |
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De Gruyter
2017-02-01
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| Series: | Complex Manifolds |
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| Online Access: | https://doi.org/10.1515/coma-2017-0002 |