Holomorphic sectional curvature, nefness and the Miyaoka-Yau inequality
Holomorphic sectional curvature, nefness and the Miyaoka-Yau inequality
复制标题
全纯截面曲率、细度和 Miyaoka-Yau 不等式
DOI：
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发表时间：
2018
期刊：
影响因子：
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通讯作者：
Yashan Zhang
中科院分区：
文献类型：
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作者：
Yashan Zhang
在紧致K“ahler流形上，我们引入了一个关于全纯截面曲率的性质，这个性质比具有半负全纯截面曲率的K“ahler度量的存在性弱.证明了满足这一性质的紧致K ahler流形有nef标准线丛，不含有理曲线，满足Miyaoka-Yau不等式.我们还在具有半充分标准线丛和数值科代拉维数$\nu（X）的紧致K\“ahler流形$X$上观察到一个Miyaoka-Yau型Chern数不等式
On a compact K\"ahler manifold, we introduce a property in terms of holomorphic sectional curvature, which is weaker than existence of a K\"ahler metric with semi-negative holomorphic sectional curvature. We prove that a compact K\"ahler manifold satisfying this property has nef canonical line bundle, does not contain any rational curve and satisfies the Miyaoka-Yau inequality. We also observe a Chern number inequality of Miyaoka-Yau type on a compact K\"ahler manifold $X$ with semi-ample canonical line bundle and the numerical Kodaira dimension $\nu(X)
DOI：
10.1090/gsm/077
发表时间：
2018
期刊：
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影响因子：
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作者：
B. Chow;P. Lu;Lei Ni
通讯作者：
B. Chow;P. Lu;Lei Ni