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arXiv · 2609.14694

Phantom subcategories on blow-ups of Hirzebruch surfaces

Zeyuan He·Yu-Zhe Liu·Mingzhi Sheng·Panyue Zhou
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Abstract

We prove that the blow-up of the Hirzebruch surface $\mathbb F_n$ at $n+6$ general points admits a phantom subcategory for every $n\geqslant 3$.

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Zeyuan He, Yu-Zhe Liu, Mingzhi Sheng, Panyue Zhou. 2026-09-13. Phantom subcategories on blow-ups of Hirzebruch surfaces. https://arxiv.org/abs/2609.14694

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