10 citations · 10 across the 3 of their papers we have counts for
4 papers
Geometric stability conditions under autoequivalences and applications: Elliptic Surfaces
Jason Lo, Cristian Martinez
On a Weierstrass elliptic surface, we describe the action of the relative Fourier-Mukai transform on the geometric chamber of , and in the K3 case we also study t…
Fourier-Mukai transforms and stable sheaves on Weierstrass elliptic surfaces
Wanmin Liu, Jason Lo, Cristian Martinez
On a Weierstraß elliptic surface , we define a `limit' of Bridgeland stability conditions, denoted as -stability, by moving the polarisation towards the fiber direction in…
Change of polarization for moduli of sheaves on surfaces as Bridgeland wall-crossing
Aaron Bertram, Cristian Martinez
We prove that the "Thaddeus flips" of -twisted sheaves constructed by Matsuki and Wentworth can be obtained via Bridgeland wall-crossing. Similarly, we realize the change of pol…
The birational geometry of moduli space of sheaves on the projective plane
Aaron Bertram, Cristian Martinez, Jie Wang
We describe a close relation between wall crossings in the birational geometry of moduli space of Gieseker stable sheaves on $\bb{P}^2$ and mini-wall crossings in the stab…