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20092024
most citedA remark on constant scalar curvature Kähler metrics on minimal models

5 citations · 18 across the 11 of their papers we have counts for

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11 papers

math.DG2024

CscK metrics near the canonical class

Bin Guo, Wangjian Jian, Yalong Shi +1

Let be a Kähler manifold with semi-ample canonical bundle . It is proved by Jian-Shi-Song that for any Kähler class , there exists such that for all …

math.DG2023

estimates for Kähler-Ricci flow on Kähler-Einstein Fano manifolds: a new derivation

Wangjian Jian, Yalong Shi

Assuming Perelman's estimates, we give a new proof of uniform estimate along normalized Kähler-Ricci flow on Fano manifolds with Kähler-Einstein metrics, using Chen-Chen…

math.DG2019

Global higher order estimates for collapsing Calabi-Yau metrics on elliptic K3 surfaces

Wangjian Jian, Yalong Shi

We improve Gross-Wilson's local estimates to global ones. As an application, we study the blow-up limits of the degenerating Calabi-Yau metrics on singular fibers.

math.DG2019★ 5 cited

A "boundedness implies convergence" principle and its applications to collapsing estimates in Kähler geometry

Wangjian Jian, Yalong Shi

We establish a general "boundedness implies convergence" principle for a family of evolving Riemannian metrics. We then apply this principle to collapsing Calabi-Yau metrics and no…

math.DG2018

Asymptotic expansions of complete Kähler-Einstein metrics with finite volume on quasi-projective manifolds

Xumin Jiang, Yalong Shi

We give an elementary proof to the asymptotic expansion formula of Rochon-Zhang for the unique complete Kähler-Einstein metric of Cheng-Yau, Kobayashi, Tian-Yau and Bando on quasi-…

math.DG2018★ 5 cited

A remark on constant scalar curvature Kähler metrics on minimal models

Wangjian Jian, Yalong Shi, Jian Song

In this short note, we prove the existence of constant scalar curvature Kähler metrics on compact Kähler manifolds with semi-ample canonical bundles.