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arXiv · 1511.00183

Smoothing conic Kähler metrics with uniformly upper bisectional curvature bound

Liangming Shen
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Abstract

Based on C. Li and Y. Rubinstein's upper bisectional curvature bound estimate for the conic Kähler metric, we can construct a smoothing sequence for the conic metric with uniformly upper bisectional curvature bound. For the conic metric along a simple normal crossing divisor with triple or higher multiple points we may need to choose a new background Kähler metric in the same cohomology class of the original background metric. This setting will be helpful to the study of conical Kähler-Einstein metrics and conical Kähler-Ricci flow.

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Liangming Shen. 2015-11-16. Smoothing conic Kähler metrics with uniformly upper bisectional curvature bound. https://arxiv.org/abs/1511.00183

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