Complex Analysis

Oblique Polar Lines of ? X |f|2?|g|2??.- On Involutive Systems of First-order Nonlinear Partial Differential Equations.- Gevrey Hypoellipticity for an Interesting Variant of Kohn’s Operator.- Subelliptic Estimates.- Invariant CR Mappings.- On the Subellipticity of Some Hypoelliptic Quasihomogeneous Systems of Complex Vector Fields.- Invariance of the Parametric Oka Property.- Positivity of the -Neumann Laplacian.- Compactness Estimates for the -Neumann Problem in Weighted L 2-spaces.- Remarks on the Homogeneous Complex Monge-Ampère Equation.- A Radó Theorem for Locally Solvable Structures of Co-rank One.- Applications of a Parametric Oka Principle for Liftings.- Stability of the Vanishing of the -cohomoloy Under Small Horizontal Perturbations of the CR Structure in Compact Abstract q-concave CR Manifolds.- Coherent Sheaves and Cohesive Sheaves.- Characteristic Classes of the Boundary of a Complex b-manifold.- Solvability of Planar Complex Vector Fields with Applications to Deformation of Surfaces.- On the Zariski Closure of a Germ of Totally Geodesic Complex Submanifold on a Subvariety of a Complex Hyperbolic Space Form of Finite Volume.- The Large Time Asymptotics of the Entropy.- The Closed Range Property for on Domains with Pseudoconcave Boundary.- New Normal Forms for Levi-nondegenerate Hypersurfaces.