Junbang Liu

activity

20222026

most citedDepth Estimation Algorithm Based on Transformer-Encoder and Feature Fusion

3 citations · 3 across the 8 of their papers we have counts for

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math.DG2026

The $J$ -equation on Kähler manifolds under a smooth boundary cone condition

Junbang Liu

For a $n$ -dimensional compact Kähler manifold $X$ with a pair of Kähler classes $(α, β)$ , we show that the algebraically defined $J$ -null locus is equal to the analytically defined…

math.DG2026

Semistable $J$ -equation on Kähler threefold

Junbang Liu

For a $3$ -dimensional compact Kähler manifold $X$ with a pair of Kähler class $(α, β)$ which is $J$ -semistable, we show that the $J$ -null locus of $(α, β)$ forms a subvariety of $X$ .…

math.DG2024

Complex Alexandrov-Bakelman-Pucci estimate and its applications

Junbang Liu

We prove an Alexandrov-Bakelman-Pucci type estimate, which involves the integral of the determinant of the complex Hessian over a certain subset. It improves the classical ABP esti…

math.DG2024

On relative $L^{\infty}$ estimate for complex Monge-Ampère equations

Junbang Liu

We prove a relative $L^{\infty}$ estimate for a class of complex Monge-Ampère type equations on Kähler manifolds. It provides a unified approach to Tundinger type estimate and unifor…

The J-equation on Kähler manifolds under a smooth boundary cone condition

Semistable J-equation on Kähler threefold

Complex Alexandrov-Bakelman-Pucci estimate and its applications

On relative L∞ estimate for complex Monge-Ampère equations

The $J$ -equation on Kähler manifolds under a smooth boundary cone condition

Semistable $J$ -equation on Kähler threefold

On relative $L^{\infty}$ estimate for complex Monge-Ampère equations