4 papers
Echoes of phantoms on rational surfaces
Shihao Ma, Yirui Xiong, Song Yang
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…
A new phantom on a rational surface
Shihao Ma, Yirui Xiong, Song Yang
We construct a universal phantom subcategory on the blow-up of the complex projective plane at 11 general points. This phantom subcategory is the orthogonal complement of a non-ful…
Cohen-Macaulay modules and the Bondal-Orlov conjecture
Ananyo Dan, Yirui Xiong
Most of the known examples of derived categories of small resolutions arise as the derived category of the endormorphism algebra of tilting bundles or complexes. Given two resoluti…
Invariant stability conditions on local (after Del Monte-Longhi)
Yirui Xiong
Let be the total space of canonical bundle of $\pp$, we study an invariant subspace of stability conditions on under an autoequivalence of . We describe the complet…