Geodesic
Boundary asymptotics of the relative Bergman kernel metric for elliptic curves II: subleading terms
Robert Xin Dong1
1 Graduate School of Mathematics Nagoya University 464-8602 Nagoya, Japan
Annales Polonici Mathematici, Tome 118 (2016) no. 1, pp. 59-69.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

For a Legendre family of elliptic curves near the moduli space boundary, we study asymptotic behavior at a node of the relative Bergman kernel metric and show that its curvature form coincides with the Poincaré metric of $\mathbb C\setminus \{0, 1\}$. Four-term and three-term asymptotic expansion formulas near $0$ are obtained for this metric and its Kähler potential, respectively.
DOI : 10.4064/ap3841-8-2016
Keywords: legendre family elliptic curves near moduli space boundary study asymptotic behavior node relative bergman kernel metric its curvature form coincides poincar metric mathbb setminus four term three term asymptotic expansion formulas near obtained metric its hler potential respectively

Robert Xin Dong 1

1 Graduate School of Mathematics Nagoya University 464-8602 Nagoya, Japan 
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Robert Xin Dong. Boundary asymptotics of the relative Bergman kernel metric for elliptic curves II: subleading terms. Annales Polonici Mathematici, Tome 118 (2016) no. 1, pp. 59-69. doi : 10.4064/ap3841-8-2016. http://geodesic.mathdoc.fr/articles/10.4064/ap3841-8-2016/

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