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math.AG2026
The Kuranishi space of joint deformations of Calabi--Yau manifolds and holomorphic vector bundles
Runze Zhang
In this paper, we study joint deformations of pairs , where is a compact complex manifold and is a holomorphic vector bundle. We prove that has…
math.CV2026
A numerically flat rank-two bundle without a holomorphic connection on a -threefold
Tianzhi Hu, Runze Zhang
We construct a numerically flat holomorphic vector bundle of rank two on a compact complex threefold satisfying the ordinary -lemma and prove that it admits n…