4 papers · 1 filter
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…
A moduli space of stable sheaves on a cubic threefold
Shihao Ma, Song Yang
In this paper, we prove that the moduli space of Gieseker semistable sheaves on a smooth cubic threefold with Chern character $v=(4,-H,-\frac{5}{6}H^{2},\…