PreprintarXiv licencearXiv
Phantom subcategories on blow-ups of Hirzebruch surfaces
Abstract
We prove that the blow-up of the Hirzebruch surface 𝔽n at n+6 general points admits a phantom subcategory for every ngeqslant 3.
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BibTeX
@misc{he2026phantom,
title = {{Phantom subcategories on blow-ups of Hirzebruch surfaces}},
author = {Zeyuan He and Yu-Zhe Liu and Mingzhi Sheng and Panyue Zhou},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.14694},
eprint = {2609.14694},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.14694},
}
RIS
TY - UNPB
TI - Phantom subcategories on blow-ups of Hirzebruch surfaces
AU - Zeyuan He
AU - Yu-Zhe Liu
AU - Mingzhi Sheng
AU - Panyue Zhou
PY - 2026
DA - 2026/09/13
PB - arXiv
DO - 10.48550/arxiv.2609.14694
UR - https://arxiv.org/abs/2609.14694
AB - We prove that the blow-up of the Hirzebruch surface 𝔽_n at n+6 general points admits a phantom subcategory for every ngeqslant 3.
ER -