3 papers
math.CV2026
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…
math.AG2024
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…
math.AG2024
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…