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…
Quintic genus 2 curves, stable pairs and wall-crossing
Shihao Ma, Song Yang
This paper studies wall crossings in Bridgeland stability for the moduli space of Pandharipande--Thomas stable pairs associated with quintic genus 2 curves in the complex projectiv…
Refined Chern characteristic classes of blow-ups
Xiaojun Wu, Song Yang, Xiangdong Yang
We prove a blow-up formula for refined Chern characteristic classes of compact complex manifolds. To this end, we establish a version of Riemann--Roch without denominators for the…