Good Geometry on the Curve Moduli

Good Geometry on the Curve Moduli
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曲线模量上的良好几何形状

DOI:
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发表时间:
2008
期刊:
影响因子:
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通讯作者:
S. Yau
S. Yau
中科院分区:
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文献类型:
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作者:
Kefeng Liu;Xiaofeng Sun;S. Yau

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本文旨在向平中教授致敬,以表彰他在数学,特别是在代数几何方面的杰出贡献。他在亚洲的领导力激励了许多代亚洲数学家。我们希望许多年轻的数学家在这个宏大的课题上继续追随他的脚步。本文介绍了我们在Riemann曲面的模空间上的各种Kähler度量及其曲率的渐近分析方面的一些最新结果。这些工作将使我们能够使用微分几何技术来研究各种代数几何和拓扑问题
This paper is written to dedicate to Professor Hironaka for his outstanding contributions to mathematics, especially in algebraic geometry. His leadership in Asia has inspired many generations of asian mathematicians. We wish many young mathematicians will continue to follow his footsteps in this grand subject. In this paper we describe some of our recent results in the asymptotic analysis of various Kähler metrics and their curvatures on the moduli spaces of Riemann surfaces. These works will enable us to use differential geometric techniques to study various algebraic geometric and topological problems about