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arXiv · 1401.6542

Bergman Kernels and algebraic structure of limit space for a sequence of almost Kähler-Ricci solitons

Wenshuai Jiang·Feng Wang·Xiaohua Zhu
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Abstract

In this paper, we give a lower bound of Bergman kernels for a sequence of almost Kähler-Einstein Fano manifolds, or more general, a sequence of Fano manifolds with almost Kähler-Ricci solitons. This generalizes a result by Donaldson-Sun, Tian for Kähler-Einstein manifolds sequence with positive scalar curvature. As an application of our result, we prove that the Gromov-Hausdorff limit of sequence is homomorphic to a log terminal $Q$-Fano variety which admits a Kähler-Ricci soliton on its smooth part.

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Wenshuai Jiang, Feng Wang, Xiaohua Zhu. 2014-06-16. Bergman Kernels and algebraic structure of limit space for a sequence of almost Kähler-Ricci solitons. https://arxiv.org/abs/1401.6542

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