Dynamical construction of K\"{a}hler-Einstein metrics

Dynamical construction of K\"{a}hler-Einstein metrics
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K"{a}hler-Einstein 度量的动态构建

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发表时间:
2006
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通讯作者:
H. Tsuji
H. Tsuji
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作者:
H. Tsuji

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本文给出了一个具有充分典型丛的光滑射影簇上的Kahler-Einstein度量的新构造.这个结果可以推广到一般类型的光滑射影簇上的奇异Kahler-Einstein度量的构造,它给出了正则丛的AZD.同时考虑了Bergman核的变分和Kahler-Einstein体积形式.
In this paper, I give a new construction of a K\"{a}hler-Einstein metrics on a smooth projective variety with ample canonical bundle. This result can be generalized to the construction of a singular K\"{a}hler-Einstein metric on a smooth projective variety of general type which gives an AZD of the canonical bundle. Also the variation of Bergman kernels and K\"{a}hler-Einstein volume form have been considered.