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Compact Kähler surfaces with semipositive anticanonical bundle
Abstract
We classify compact Kähler surfaces with semipositive anticanonical bundle. In particular, we resolve a question of Demailly--Peternell--Schneider: any blowup of ℙ2 at 9 points on a smooth cubic has semipositive anticanonical bundle.
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BibTeX
@misc{chen2026compact,
title = {{Compact Kähler surfaces with semipositive anticanonical bundle}},
author = {Yifan Chen and Simion Filip and Song Sun and Valentino Tosatti and Junsheng Zhang},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.26716},
eprint = {2609.26716},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.26716},
}
RIS
TY - UNPB
TI - Compact Kähler surfaces with semipositive anticanonical bundle
AU - Yifan Chen
AU - Simion Filip
AU - Song Sun
AU - Valentino Tosatti
AU - Junsheng Zhang
PY - 2026
DA - 2026/09/22
PB - arXiv
DO - 10.48550/arxiv.2609.26716
UR - https://arxiv.org/abs/2609.26716
AB - We classify compact Kähler surfaces with semipositive anticanonical bundle. In particular, we resolve a question of Demailly--Peternell--Schneider: any blowup of ℙ^2 at 9 points on a smooth cubic has semipositive anticanonical bundle.
ER -