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一个博戈莫洛夫型消失定理

A remark on Bogomolov type vanishing theorem

Xiankui Meng, Chenghao Qing, Xiangyu Zhou

arXiv 2607.14858首次发表:更新:

发表机构

Beijing University of Posts and Telecommunications; Tsinghua University; Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences(北京邮电大学; 清华大学; 中国科学院数学与系统科学研究院)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

研究在射影流形上建立博戈莫洛夫型消失定理,核心方法是基于数值有效线丛和乘子理想层,给出相关定理。

AI 中文摘要

本文在数值有效线丛和乘子理想层的背景下,在射影流形上建立了一个博戈莫洛夫型消失定理。

英文摘要

Several vanishing theorems for pseudo-effective line bundles are presented. All related results in the present note can be derived from already known theorems, in particular from the Steenbrink vanishing theorem and Boucksom's generalization of Bogomolov's vanishing theorem. No originality or priority is claimed for these statements; they are listed here merely as conjugate forms of the Kawamata--Viehweg vanishing theorem, for convenience of reference and comparison with existing literature.

论文原文

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