3 papers
math.DG2026
Point Singularities and Local Third Chern Classes for Rank-Two Torsion-free Sheaves on Threefolds
Xuemiao Chen
In this paper, motivated by singularity formation in gauge theory, we study the local third Chern class contribution carried by isolated point singularities of rank-two torsion-fre…
math.DG2026
Point Singularities and Bubbling in Degenerations of Rank-Two Bundles on Threefolds
Xuemiao Chen
We study one-parameter degenerations of rank-two vector bundles on complex threefolds to a rank-two torsion-free sheaf with an isolated point singularity. We prove a rigidity ident…
math.DG2025
Bubbling of rank two bundles over surfaces
Xuemiao Chen
In this paper, motivated by the singularity formation of ASD connections in gauge theory, we study an algebraic analogue of the singularity formation of families of rank two holomo…