3 papers
math.AG2026
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…
math.AG2025
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…
math.RA2022
T-structures on a local 4-Calabi-Yau variety
Yirui Xiong
Let denote the total space of cotangent bundle of projective plane. This is a non-compact Calabi-Yau -fold (also called local Calabi-Yau variety in physics literature). The…