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math.CV2026
Uniform RC-positivity of tangent bundles
Chenghao Qing, Hongzhao Sun, Xiangyu Zhou
In this paper, we prove that every rationally connected projective manifold admits a smooth uniformly RC-positive Hermitian metric on its tangent bundle, answering Yang's question…
math.CV2026
Vanishing theorems for pseudo-effective line bundles
Xiankui Meng, Chenghao Qing, Xiangyu Zhou
In the present paper, we establish a general Kawamata-Viehweg-Kollár-Nadel type vanishing theorem for higher direct images in terms of numerical dimension for closed positive curre…