3 papers
math.AG2025
Bridgeland walls destabilizing one-dimensional space sheaves
Daniel Bernal, Cristian Martinez
Following the setup proposed by Jardim-Maciocia-Martinez in the case of the projective space, we study some numerical and actual Bridgeland walls for the (twisted) Chern character…
math.AG2025
Higher rank DT/PT wall-crossing in Bridgeland stability
Marcos Jardim, Jason Lo, Antony Maciocia +1
We prove that the Gieseker moduli space of stable sheaves on a smooth projective threefold of Picard rank 1 is separated from the moduli space of PT stable objects by a single…
math.AG2024
A note on Kodaira vanishing on surfaces
Cristian Martinez
We give a proof of the Kodaira vanishing theorem on smooth complex surfaces using geometric stability conditions. Likewise, we give a new proof of a result of Xie characterizing th…