Bogomolov type 1multiplier ideal sheaves 1nef line bundles 1projective manifolds 1vanishing theorems 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.AG2026
A Bogomolov type vanishing theorem
Xiankui Meng, Chenghao Qing, Xiangyu Zhou
The authors prove a Bogomolov‑type vanishing theorem for cohomology on projective manifolds, using nef line bundles together with multiplier ideal sheaves.
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 curr…
math.AG2025
On compact Kähler manifolds with pseudo-effective tangent bundle
Shin-ichi Matsumura, Chenghao Qing
In this paper, we prove that a compact Kähler manifold with pseudo-effective (resp. singular positively curved) tangent bundle admits a smooth (resp. locally constant) rationa…