4 papers
Surjectivity of real-linear Cauchy--Riemann operators: from the minimal Harder--Narasimhan slope to automatic transversality
Qingchun Ji, Jun Yao
This paper relates the minimal Harder--Narasimhan slope to the surjectivity of real-linear Cauchy--Riemann operators. We establish a conformally invariant criterion and an as…
Levi Flat Structures via Structure Sheaves: Differential Complexes, Convexity, and Global Solvability
Qingchun Ji, Jun Yao
This paper investigates Levi flat structures from the perspective of structure sheaves. We employ formal integrability to construct a class of differential complexes, thereby provi…
Basic (Dolbeault) Cohomology of Foliated Manifolds with Boundary
Qingchun Ji, Jun Yao
In this paper, we develop theory for Riemannian and Hermitian foliations on manifolds with basic boundary. We establish a decomposition theorem, various vanishing theorems, a…
Formally Integrable Structures II. Division Problem
Qingchun Ji, Jun Yao
We formulate a division problem for a class of overdetermined systems introduced by L. H{ö}rmander, and establish an effective divisibility criterion. In addition, we prove a coher…