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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Bibliographic Details
Main Author: Dong Robert Xin
Format: article
Language:EN
Published: De Gruyter 2017
Subjects:
Online Access:https://doaj.org/article/263f25ef52814b709c5f1f520d3fce89
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