Good Geometry on the Curve Moduli
Good Geometry on the Curve Moduli
复制标题
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
中科院分区:
文献类型:
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作者:
Kefeng Liu;Xiaofeng Sun;S. Yau
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