Volume 1. Higher derivations and the Zariski-Lipman conjecture / Joseph Becker -- Fibering of residual currents / N. Coleff and M. Herrera -- Cartesian product structure of singularities / Robert Ephraim -- A geometric study of the monodromy of complex analytic surfaces / Gerald Leonard Gordon -- Remarks on asymptotic integrals, the polynomial of I. N. Bernstein and the Picard-Lefschetz monodromy / Helmut A. Hamm -- Deformations of cusp singularities / Ulrich Karras -- On $\mu $ for surface singularities / Henry B. Laufer -- Smoothing perfect varieties / R. Mandelbaum and M. Schaps -- The structure of weighted homogeneous polynomials / P. Orlik and R. Randell -- Deformations of quotient surface singularities / H. C. Pinkham -- Simple elliptic singularities, Del Pezzo surfaces and Cremona transformations / Simultaneous resolutions of singularities / Oswald Riemenschneider -- Equisingularity and local analytic geometry / John Stutz -- Deformations of coherent analytic sheaves with isolated singularities / Günther Trautmann -- Local cohomology groups for resolutions of singularities / Jonathan M. Wahl -- Application of $\overline \partial _b$ to deformation of isolated singularities / Masatake Kuranishi -- The Dirichlet problem for a complex Monge-Ampère equation / Eric Bedford and B. A. Taylor -- Type conditions for real submanifolds of $C^n$ / Thomas Bloom -- Factorization theorems for Hardy spaces of complex spheres / R. R. Coifman, R. Rochberg and Guido Weiss -- Gevrey regularity up to the boundary for the $\overline \partial $ Neumann problem / M. Derridj -- Some recent developments in the theory of the Bergman kernel function: a survey / Klas Diederich -- The maximum modulus principle for $CR$ functions on smooth real embedded submanifolds of $C^n$ / David Ellis and C. Denson Hill -- Real submanifolds with degenerate Levi form / Michael Freeman -- Boundary behaviour of the Carathéodory and Kobayashi metrics / Ian Graham -- Function theory on tube manifolds / C. Denson Hill and Michael Kazlow -- A uniqueness theory for the induced Cauchy-Riemann operator / L. R. Hunt -- A Monge-Ampère equation in complex analysis / N. Kerzman -- CR structures and their extensions / Garo K. Kiremidjian -- Uniform bounds on derivatives for the $\overline \partial $-problem in the polydisk / Mario Landucci -- Diffusion estimates in complex analysis / Paul Malliavin -- Hyperfunction boundary values and a generalized Bochner-Hartogs theorem / John C. Polking and R. O. Wells, Jr. -- Parametrices for the boundary Laplacian and related hypoelliptic differential operators / Linda Preiss Rothschild -- On the global real analycity of solutions to $\square _b$ on compact manifolds / David S. Tartakoff -- Methods of partial differential equations in complex analysis / J. J. Kohn -- Compactifying $C^n$ / Lawrence Brenton and James A. Morrow -- On the cancellation problem for compact complex-analytic manifolds / Jérôme Brun -- Vector fields, Chern classes, and cohomology / J. B. Carrell and D. I. Lieberman -- Differential forms with subanalytic singularities; integral cohomology; residues / Pierre Dolbeault and Jean Poly -- On the homotopy type of weighted homogeneous normal complex surfaces / Ludger Kaup and Gottfreid Barthel -- Holomorphic vector fields on projective varieties / David Lieberman -- The topological type of algebraic surfaces: Hypersurfaces in $\mathbf {P}^3(\mathbf {C})$ / R. Mandelbaum and B. Moishezon -- $L$-dimension and deformations / Edoardo Sernesi -- On ample divisors / Andrew John Sommese -- Compact quotients of $C^3$ by affine transformation groups / Tatsuo Suwa -- Deformations and analytic equations / John J. Wavrik
Nonlinear Cauchy-Riemann equations and $q$-convexity / Richard F. Basener -- Homomorphisms into analytic rings / Joseph A. Becker and William R. Zame -- Continuation of smooth holomorphic functions over analytic hypersurfaces / Eric Bedford -- The Levi problem in holomorphic bundles with compact fibre / Jérôme Brun -- Properties of pseudoconvex domains with smooth boundaries / Klas Diederich and John Erik Fornaess -- Kähler manifolds and the Levi problem / G. Elencwajg -- The holomorphic convexity of pseudoconvex complex manifolds / Alan T. Huckleberry -- Hölder estimates for $\overline \partial $ on convex domains in $C^2$ with real analytic boundary / R. Michael Range -- Lefschetz theorems and a vanishing theorem of Grauert-Riemenschneider / Michael Schneider -- Embedding strongly $(1, 1)$-convex-concave spaces in $C^N \times P_M$ / Alessandro Silva -- The Levi problem / Yum Tong Siu -- On holomorphic jet bundles / Andrew John Sommese -- On the classification of holomorphically convex spaces / Vo Van Tan -- Poincaré theta series and $L_1$ cohomology / R. O. Wells, Jr. and Joseph A. Wolf -- Analysis on noncompact Kähler manifolds / R. E. Greene and H. Wu -- Moving frames in Hermitian geometry / Simone Dolbeault -- Local invariants of real and complex Riemannian manifolds / Peter B. Gilkey -- Function theory on complete open Hermitian manifolds / Paul Klembeck -- The question of holomorphic carriers / H. Blaine Lawson, Jr. -- Deformations of strongly pseudoconvex domains in $C^2$ / R. O. Wells, Jr. -- The behavior of the infinitesimal Kobayashi pseudometric in deformations and on algebraic manifolds of general type / Marcus W. Wright -- Curvature of complex submanifolds of $C^n$ / Paul Yang -- Real hypersurfaces in complex manifolds / D. Burns, Jr. and S. Shnider -- Proper holomorphic mappings of bounded domains / H. Alexander -- A property of unions of admissible domains / N. Kerzman -- Approximation theory on CR submanifolds / Jeffrey Nunemacher -- Uniform approximation and the Cauchy-Fantappie integral / Barnet M. Weinstock -- Uniform algebras on plane domains / William R. Zame -- Power series methods in deformation theory / Otto Forster -- Separate analyticity, separate normality, and radial normality for mappings / Theodore J. Barth -- A result on the value distribution of holomorphic maps $f: \mathbf {C}^n \to \mathbf {C}^n$ / James A. Carlson -- Operator theory and complex geometry / Michael J. Cowen and Ronald G. Douglas -- A unicity theorem for equidimensional holomorphic maps / S. J. Drouilhet -- Meromorphic mappings into compact complex spaces of general type / Peter Kiernan -- Real and semireal zeros of entire functions in $C^n$ / Pierre Lelong -- A defect relation on Stein manifolds / John Murray -- On holomorphic curves in algebraic varieties with ample irregularity / Takushiro Ochiai -- Value distribution on parabolic spaces / Wilhelm Stoll -- On the equidistribution theory of holomorphic maps / Chia Chi Tung -- Theta functions with characteristic, and distinguished subspaces of the Heisenberg manifold / Louis Auslander -- The complex-analytic extension of the Fourier series on Lie groups / Luis A. Frota-Mattos -- Analysis on matrix space and certain Siegel domains / Kenneth I. Gross and Ray A. Kunze