12 citations · 27 across the 6 of their papers we have counts for
7 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…
Vertical asymptotics for Bridgeland stability conditions on 3-folds
Marcos Jardim, Antony Maciocia, Cristian Martinez
Let be a smooth projective threefold of Picard number one for which the generalized Bogomlov-Gieseker inequality holds. We characterize the limit Bridgeland semistable objects…
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…
Bridgeland Stability on Blow Ups and Counterexamples
Cristian Martinez, Benjamin Schmidt, Omprokash Das
We give further counterexamples to the conjectural construction of Bridgeland stability on threefolds due to Bayer, Macrì, and Toda. This includes smooth projective threefolds cont…
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…
Duality, Bridgeland wall-crossing and flips of secant varieties
Cristian Martinez
Let denote the -uple Veronese surface. After studying some general aspects of the wall-crossing phenomena for stabilit…
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…