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Phantom subcategories on blow-ups of Hirzebruch surfaces

Zeyuan He, Yu-Zhe Liu, Mingzhi Sheng, Panyue Zhou

Source record

Source: arXiv

Published: Sep 13, 2026

arXiv: 2609.14694

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Source abstract

We prove that the blow-up of the Hirzebruch surface Fn\mathbb F_n at n+6n+6 general points admits a phantom subcategory for every n3n\geqslant 3.

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