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A solution to Berndtsson's problem and uniqueness of twisted KE currents
Abstract
We prove the uniqueness conjecture on the twisted Kähler-Einstein currents in big cohomology classes, by solving a problem of Bo Berndtsson posed in his work on the uniqueness theorem of Käher-Einstein metrics.
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BibTeX
@misc{li2026solution,
title = {{A solution to Berndtsson's problem and uniqueness of twisted KE currents}},
author = {Yinji Li and Haoyuan Sun and Zhiwei Wang and Xiangyu Zhou},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.18141},
eprint = {2609.18141},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.18141},
}
RIS
TY - UNPB
TI - A solution to Berndtsson's problem and uniqueness of twisted KE currents
AU - Yinji Li
AU - Haoyuan Sun
AU - Zhiwei Wang
AU - Xiangyu Zhou
PY - 2026
DA - 2026/09/16
PB - arXiv
DO - 10.48550/arxiv.2609.18141
UR - https://arxiv.org/abs/2609.18141
AB - We prove the uniqueness conjecture on the twisted Kähler-Einstein currents in big cohomology classes, by solving a problem of Bo Berndtsson posed in his work on the uniqueness theorem of Käher-Einstein metrics.
ER -