22 citations · 84 across the 23 of their papers we have counts for
25 papers
Stability for Line Bundles and Deformed Hermitian-Yang-Mills Equation on Some Elliptic Surfaces
Tristan C. Collins, Jason Lo, Yun Shi +1
We study the twisted ampleness criterion due to Collins, Jacob and Yau on surfaces, which is equivalent to the existence of solutions to the deformed Hermitian-Yang-Mills (dHYM) eq…
Intersection numbers on fibrations and Catalan numbers
Rimma Hämäläinen, Jason Lo, Edward Morales
On an elliptic surface or threefold, Catalan numbers appear when one tries to compute the autoequivalence group action on the Bridgeland stability manifold. We explain why this hap…
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…
Stable pairs of 2-dimensional sheaves on 4-folds
Amin Gholampour, Yunfeng Jiang, Jason Lo
We identify Le Potier's moduli spaces of limit stable pairs , where is a 2-dimensional sheaf on a nonsingular projective 4-fold and , with the moduli s…
A note on Bridgeland stability conditions and Catalan numbers
Jason Lo, Karissa Wong
In this short note, we describe a problem in algebraic geometry where the solution involves Catalan numbers. More specifically, we consider the derived category of coherent sheaves…
Weight functions, tilts, and stability conditions
Jason Lo
In this article, we treat stability conditions in the sense of King, Bridgeland and Bayer in a single framework. Following King, we begin with weight functions on a triangulated ca…