有理曲面上幻影的回声
Echoes of phantoms on rational surfaces
浏览论文内容
中文总结 AI 辅助
本文在复射影平面10个一般位置点爆破得到的光滑有理曲面上，构造了首个可数无限族不等价的新通用幻影范畴，证明其为非满例外线丛集合的正交补，且所有该类范畴都容许有界t-结构。
中文摘要 AI 辅助
我们在光滑有理曲面——复射影平面在一般位置的10个点处的爆破上，构造了首个可数无限族的新通用幻影范畴。这些幻影范畴两两不等价，且不等价于此前已知的任何光滑有理曲面上的幻影范畴，它们作为具有最大长度的非满例外线丛集合的正交补出现。作为应用，我们证明所有这些幻影范畴都容许有界t-结构。
英文摘要
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.
