2 papers
math.DG2025
On Vafa-Witten equations over Kaehler manifolds
Xuemiao Chen
In this paper, we study the analytic properties of solutions to the Vafa-Witten equation over a compact Kaehler manifold. Simple obstructions to the existence of nontrivial solutio…
math.DG2025
Admissible Hermitian-Yang-Mills connections over normal varieties
Xuemiao Chen
In this paper, we first prove a complete version of the Donaldson-Uhlenbeck-Yau theorem over normal varieties, including normal Kaehler varieties and projective normal varieties wi…