Xiankui Meng

works on

Bogomolov type 1 multiplier ideal sheaves 1 nef line bundles 1 projective manifolds 1 vanishing theorems 1

From the 1 of 3 linked papers with an AI index.

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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-KollÃ¡r-Nadel type vanishing theorem for higher direct images in terms of numerical dimension for closed positive curr…

math.CV2025

A Converse to the Skoda $L^{2}$ Division Theorem

Zhi Li, Xiankui Meng, Jiafu Ning +1

In this paper, we present a converse to a version of Skoda's $L^{2}$ division theorem by investigating the solvability of $\partial ˉ$ equations of a specific type.

Vanishing theorems for pseudo-effective line bundles

A Converse to the Skoda L2 Division Theorem

A Converse to the Skoda $L^{2}$ Division Theorem