Junyan Cao

activity

20122026

most citedNumerical dimension and a Kawamata-Viehweg-Nadel type vanishing theorem on compact Kähler manifolds

54 citations · 135 across the 21 of their papers we have counts for

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math.DG2023

Geometry of $K$ -trivial Moishezon manifolds : decomposition theorem and holomorphic geometric structures

Indranil Biswas, Junyan Cao, Sorin Dumitrescu +1

Let $X$ be a compact complex manifold such that its canonical bundle $K_{X}$ is numerically trivial. Assume additionally that $X$ is Moishezon or $X$ is Fujiki with dimension at most…

math.DG2023★ 1 cited

Hermite--Einstein metrics in singular settings

Junyan Cao, Patrick Graf, Philipp Naumann +3

In this article we pursue the following main goals. In the first place, we establish the existence of "estimable" Hermite--Einstein metrics for stable reflexive coherent sheaves on…

math.DG2017★ 5 cited

Variation of singular Kähler-Einstein metrics: positive Kodaira dimension

Junyan Cao, Henri Guenancia, Mihai Păun

Given a Kähler fiber space $p : X \to Y$ whose generic fiber is of general type, we prove that the fiberwise singular Kähler-Einstein metric induces a semipositively curved metric on…

Geometry of K-trivial Moishezon manifolds : decomposition theorem and holomorphic geometric structures

Hermite--Einstein metrics in singular settings

Variation of singular Kähler-Einstein metrics: positive Kodaira dimension

Geometry of $K$ -trivial Moishezon manifolds : decomposition theorem and holomorphic geometric structures