Suita Conjecture for a Punctured Torus

被引:2
作者
Dong, Robert Xin [1 ]
机构
[1] Uniwersytet Jagiellonski, Inst Matemat, Lojasiewicza 6, PL-30348 Krakow, Poland
来源
NEW TRENDS IN ANALYSIS AND INTERDISCIPLINARY APPLICATIONS | 2017年
关键词
Arakelov-Green function; Arakelov metric; Bergman kernel; Evans-Selberg potential; Fundamental metric; Suita conjecture;
D O I
10.1007/978-3-319-48812-7_25
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
For a once-punctured complex torus, we compare the Bergman kernel and the fundamental metric, by constructing explicitly the Evans-Selberg potential and discussing its asymptotic behaviors. This work aims to generalize the Suita type results to potential-theoretically parabolic Riemann surfaces.
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页码:199 / 206
页数:8
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