Echoes of phantoms on rational surfaces

Shihao Ma; Yirui Xiong; Song Yang

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arXiv · 2608.11796

Echoes of phantoms on rational surfaces

Shihao Ma·Yirui Xiong·Song Yang

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Abstract

We construct the first countably infinite family of new universal phantom categories on a smooth rational surface, namely the blow-up of the complex projective plane at ten points in general position. Moreover, these phantom categories are pairwise non-equivalent, are not equivalent to any previously known phantom category on a smooth rational surface, and arise as the orthogonal complements of non-full exceptional collections of line bundles of maximal length. As an application, we show that all of these phantom categories admit bounded $t$-structures.

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Shihao Ma, Yirui Xiong, Song Yang. 2026-08-12. Echoes of phantoms on rational surfaces. https://arxiv.org/abs/2608.11796

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