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math.CV2025
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…
math.CV2023
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…