7 citations · 21 across the 9 of their papers we have counts for
9 papers
On octonionic Hessian complex and Hartogs--Bochner extension of octonionic pluriharmonic functions in two octonionic variables
Yun Shi, Wei Wang
In this paper, we construct the octonionic Hessian complex, which is the octonionic version of the -complex. By proving its ellipticity, we can solve the non…
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…
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…
The Yamabe operator and invariants on octonionic contact manifolds and convex cocompact subgroups of
Yun Shi, Wei Wang
An octonionic contact (OC) manifold is always spherical. We construct the OC Yamabe operator on an OC manifold and prove its transformation formula under conformal OC transformatio…
D-critical locus structure on the Hilbert schemes of some local toric Calabi-Yau threefolds
Sheldon Katz, Yun Shi
The notion of a d-critical locus is an ingredient in the definition of motivic Donaldson-Thomas invariants by [BJM19]. In this paper we show that there is a d-critical locus struct…
Stability and the deformed Hermitian-Yang-Mills equation
Tristan C. Collins, Yun Shi
We survey some recent progress on the deformed Hermitian-Yang-Mills (dHYM) equation. We discuss the role of geometric invariant theory (GIT) in approaching the solvability of the d…
The tangential -Cauchy-Fueter complexes and Hartogs' phenomenon over the right quaternionic Heisenberg group
Yun Shi, Wei Wang
We construct the tangential -Cauchy-Fueter complexes on the right quaternionic Heisenberg group, as the quaternionic counterpart of -complex on the Heisen…
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…
On Conformal Qc Geometry, Spherical Qc Manifolds and Convex Cocompact Subgroups of
Yun Shi, Wei Wang
Conformal qc geometry of spherical qc manifolds are investigated. We construct the qc Yamabe operators on qc manifolds, which are covariant under the conformal qc transformations.…