On the curvature of symmetric products of a compact Riemann surface

被引：0
|
作者：
Indranil Biswas
机构：
[1] Tata Institute of Fundamental Research,School of Mathematics
来源：
Archiv der Mathematik | 2013年 / 100卷
关键词：
14C20; 32Q10; Riemann surface; Symmetric product; Holomorphic bisectional curvature;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Let X be a compact connected Riemann surface of genus at least two. The main theorem of Bökstedt and Romão [3] says that for any positive integer n ≤ 2(genus(X) − 1), the symmetric product Sn(X) does not admit any Kähler metric satisfying the condition that all the holomorphic bisectional curvatures are nonnegative. Our aim here is to give a very simple and direct proof of this result of Bökstedt and Romão.
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页码：413 / 415
页数：2
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