3 papers
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- polynomials are strongly strictly right-Noetherian.…
math.DG2026
On The Ellipticity of Generalised Monge-Ampère Equations on Vector Bundles
Gao Chen, Kartick Ghosh
In this paper, we study the ellipticity of the vector bundle versions of the Monge-Ampère, , dHYM and -equations at a point. These are nonlinear geometric partial diffe…
math.DG2026
Harmonic forms on ALE Ricci-flat 4-manifolds
Gao Chen, Hao Yan
In this paper, we compute the expansion of some harmonic functions and 1-forms on ALE Ricci-flat 4-manifolds.