Work

Phantom subcategories on blow-ups of Hirzebruch surfaces

Year: 2026

Type: preprint

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 $n\geqslant 3$.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.14694

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

Institutions: Guizhou University, Hunan City University, Changsha University of Science and Technology

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7213266402

Cites: 12

Cited by:

Related to: 10