Yulun Xu

activity

20192026

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4 papers · 1 filter

math.DG2026

Shrinking Kähler-Ricci solitons on toric fano fibrations

Tristan C. Collins, Genggeng Huang, Freid Tong +1

We prove that a smooth toric Fano fibration admits a complete gradient shrinking Kähler-Ricci soliton.

math.DG2026

A numerical criterion for complex Hessian type equations on projective manifolds

Gao Chen, Sijie Nie, Yulun Xu

We prove a Nakai-Moishezon-type criterion for complex Hessian-type equations on projective manifolds whose associated degree- $n$ polynomials are strongly strictly right-Noetherian.…

math.DG2025

The uniqueness of Poincaré type extremal Kähler metric

Yulun Xu

Let $D$ be a smooth divisor on a closed Kähler manifold $X$ . Suppose that $A u t_{0} (D) = {I d}$ . We prove that the Poincaré type extremal Kähler metric with a cusp singularity at $D$ i…

math.DG2024

On the uniqueness of Poincaré type cscK metrics

Yulun Xu, Kai Zheng

Let $X$ be a compact Kähler manifold with a divisor $D$ which may have simple normal crossings. We prove that the $K$ -energy is convex on the space of Poincaré type Kähler metrics.…