8 papers
Formally Integrable Structures I. Resolution of Solution Sheaves
Qingchun Ji, Jun Yao, Guangsheng Yu
This is the first of a series of papers on the -theory for formally integrable structures. It is devoted to constructing a resolution of the solution sheaf for a class of over…
Eigenvalue estimates via Hömander's -method
Qingchun Ji, Li Lin
Under various elliptic boundary conditions, we obtain lower eigenvalue estimates for Dirac operators by using Hormander's weighted -technique. Lower bounds in terms of the vol…
Holomorphic Curves into Algebraic Varieties Intersecting Divisors in Subgeneral Position
Qingchun Ji, Qiming Yan, Guangsheng Yu
Recently, there are many developments on the second main theorem for holomorphic curves into algebraic varieties intersecting divisors in general position or subgeneral position. I…
Solvability of Dirac type equations
Qingchun Ji, Ke Zhu
This paper develops a weighted -method for the (half) Dirac equation. For Dirac bundles over closed Riemann surfaces, we give a sufficient condition for the solvability of the…
L2-estimates on p-convex Riemannian manifolds
Qingchun Ji, Xusheng Liu, Guangsheng Yu
In this paper, we establish various L2-estimates for the exterior differential operator on p-convex Riemannian manifolds in the sense of Harvey and Lawson. As geometric application…
Division Theorems for the Koszul Complex
Qingchun Ji
We establish a twisted version of Skoda's estimate for the Koszul complex from which we get division theorems for the Koszul complex. This generalizes Skoda's division theorem. We…