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math.AG2023
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…
math.AG2021
D-critical loci for local toric Calabi-Yau 3-folds
Sheldon Katz, Yun Shi
The notion of a d-critical locus is an ingredient in the definition of motivic Donaldson-Thomas invariants by [BJM19]. There is a canonical d-critical locus structure on the Hilber…
math.AG2018
Orientation data for coherent sheaves on the local projective plane
Yun Shi
In this note, we show that the canonical orientation data on the quiver hearts are compatible under the autoequivalence , and hence glue to give an orientation da…