Speaker
Marcos Jardim
(Universidade Estadual de Campinas, Brazil)
Description
Let $X$ be a smooth projective threefold of Picard number one for which the generalized Bogomolov--Gieseker inequality holds, and consider the geometric Brigdeland stability conditions conjectured by Macri--Bayer--Toda. We characterize limit semistable objects, showing that these are Gieseker semistable sheaves for large values of $|\beta|$ and a higher rank generalization of PT stable pairs for large values of $\alpha$. We also discuss properties of walls and provide a precise description of the Bridgeland moduli spaces for Chern characters of the form $(r,0,d,0)$ in certain regions of the $(\alpha,\beta)$ plane.
Primary author
Marcos Jardim
(Universidade Estadual de Campinas, Brazil)