Pseudogroup structures on Spencer manifolds (Q2765973)

Let \((M,J)\) be an almost-complex manifold of type \(m\). The author considers the minimal transitive pseudogroup \(\Gamma_{ahd} (M)\) of local almost-holomorphic mappings. The family of local almost-holomorphic diffeomorphisms generate a subpseudogroup \(\Gamma_{spd}(M)\) of \(\Gamma_{ahd}(M)\). Almost-holomorphic functions on \((M,J)\) define a sheaf \(O_{ah}(M)\). A kind of coherency is discussed for the sheaf of almost holomorphic functions: For every source \(U\in\Gamma_{spd}(M)\), the sheaf \(O_{ah}(M)\) is a coherent sheaf of almost holomorphic functions.NEWLINENEWLINEFor the entire collection see [Zbl 0971.00014].