PreprintarXiv licencearXiv
Stable atomic vector bundles are 1-obstructed
Abstract
We prove that every stable atomic (twisted) vector bundle on a projective hyper-Kähler manifold is 1-obstructed. In the appendix, we construct a simple atomic object that is not 1-obstructed, providing a counterexample to Beckmann's conjecture.
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BibTeX
@misc{guo2026stable,
title = {{Stable atomic vector bundles are 1-obstructed}},
author = {Hanfei Guo},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.20213},
eprint = {2610.20213},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.20213},
}
RIS
TY - UNPB
TI - Stable atomic vector bundles are 1-obstructed
AU - Hanfei Guo
PY - 2026
DA - 2026/10/14
PB - arXiv
DO - 10.48550/arxiv.2610.20213
UR - https://arxiv.org/abs/2610.20213
AB - We prove that every stable atomic (twisted) vector bundle on a projective hyper-Kähler manifold is 1-obstructed. In the appendix, we construct a simple atomic object that is not 1-obstructed, providing a counterexample to Beckmann's conjecture.
ER -