PreprintarXiv licencearXiv
A remark on Bogomolov type vanishing theorem
Abstract
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.
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BibTeX
@misc{meng2026remark,
title = {{A remark on Bogomolov type vanishing theorem}},
author = {Xiankui Meng and Chenghao Qing and Xiangyu Zhou},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2607.14858},
eprint = {2607.14858},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2607.14858},
}
RIS
TY - UNPB
TI - A remark on Bogomolov type vanishing theorem
AU - Xiankui Meng
AU - Chenghao Qing
AU - Xiangyu Zhou
PY - 2026
DA - 2026/09/02
PB - arXiv
DO - 10.48550/arxiv.2607.14858
UR - https://arxiv.org/abs/2607.14858
AB - 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.
ER -