Yulun Xu

activity

20192026

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3 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.AP2026

Regularization and Hölder continuity for complex Hessian equations on Hermitian manifolds

Yulun Xu

Let $(M, ω)$ be a compact Hermitian manifold, and let $Γ$ be a symmetric convex cone. We develop a quantitative regularization method for $Γ$ -admissible functions. As an application…

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.…