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Books
Several complex variables and complex geometry
- Author / Creator
- Conferences
- Summer Research Institute on Several Complex Variables and Complex Geometry (1989 : University of California, Santa Cruz)
- Available as
- Online
Details
- Creator
- Eric Bedford, John P. D'Angelo, Robert E. Greene, Steven G. Krantz, editors
- Format
- Books
- Language
- English
- Contributors
- Publication
-
- Providence, R.I. : American Mathematical Society, [1991]
- ©1991
- Physical Details
-
- 1 online resource (3 volumes) : illustrations
- ISBNs
- 9780821893487, 9780821893494, 9780821893500, 9780821814895
- "Proceedings of the Summer Research Institute on Several Complex Variables and Complex Geometry, held at the University of California, Santa Cruz, Santa Cruz, California, July 10-30, 1989"--T.p. verso.
- Includes bibliographical references.
- Volume 1. Uniqueness for the Dirichlet problem for harmonic maps from the annulus into the space of planar discs / David E. Barrett -- $CR$ maps between hypersurfaces in $\mathbf {C}^n$ / Steve Bell -- Bounds for the degrees in polynomial equations / Carlos A. Berenstein and Alain Yger -- Lagrange interpolants for entire functions on $\mathbf {C}^n$ / Thomas Bloom -- An inequality for analytic functions / Urban Cegrell -- Some solutions of the Beltrami equation with $\Vert \mu \Vert _\infty = 1$ / J. A. Cima and W. R. Derrick -- On the problem of the linearization of the stability group of a real-analytic hypersurface / V. Ezhov -- Mappings of strongly pseudoconvex Cauchy-Riemann manifolds / Franc Forstnerič -- Rational curves and extensions of holomorphic mappings / S. M. Ivashkovich -- Applications of $\mathbf {C}^n$ capacities / Jacob Korevaar -- Convexity in complex analysis / Steven G. Krantz -- Solutions of $\partial ^2u/\partial z\partial \overline z=e^{2u}$ and analytic multivalued functions / Donna Kumagai -- Local versus global convexity of pseudoconvex domains / Alan Noell -- The scaling method and holomorphic mappings / Sergey Pinchuk -- Plurisubharmonic functions as solutions of variational problems / Evgeny A. Poletsky -- On complex analysis in tube cones / A. G. Sergeev -- Separately meromorphic functions and separately holomorphic mappings / Bernard Shiffman -- Some aspects of weakly pseudoconvex domains / Nessim Sibony -- Unions minimales de $n$-plans réels d'enveloppe égale à $\mathbf {C}^n$ / Pascal J. Thomas -- Separately subharmonic functions: when are they subharmonic / Jan Wiegerinck and Rein Zeinstra -- Functions of bounded mean oscillation in the Bergman metric on bounded symmetric domains / Ke He Zhu
- Volume 2. The geometry of complex manifolds: an overview / Robert E. Greene -- Angular derivatives in strongly pseudoconvex domains / Marco Abate -- Degeneracy points of the Kobayashi pseudodistances on complex manifolds / Yukinobu Adachi and Masakazu Suzuki -- On the construction of the moduli space for strongly pseudoconvex domains / Takao Akahori -- On the holomorphic sectional curvature of complete domains in $\mathbf {C}^n$ that are not Stein / Andrew Balas -- Normal forms for convex domains / J. Bland and T. Duchamp -- Homogeneous vector bundles and families of Calabi-Yau threefolds. II / Ciprian Borcea -- Holomorphic Morse inequalities / Jean-Pierre Demailly -- Some problems / Pierre Dolbeault -- Invariants of CR densities / Michael G. Eastwood and C. Robin Graham -- Convex symplectic manifolds / Yakov Eliashberg and Mikhael Gromov -- Simple partial connections and the Einstein condition / H. R. Fischer and R. J. Fisher, Jr. -- Applications of affine geometry to geometric function theory in several complex variables. I. Convergent rescalings and intrinsic quasi-isometric structure / Sidney Frankel -- A Lie algebra character and Kähler-Einstein metrics of positive scalar curvature / Akito Futaki -- On the ends of complex manifolds homogeneous under a Lie group / Bruce Gilligan -- Determinant line bundles for Hermitian foliations and a generalized Quillen metric / James F. Glazebrook and Franz W. Kamber -- Sharp constants for the Koebe theorem and for estimates of intrinsic metrics on convex domains / Ian Graham -- Rigid immersions of $G$-structures and analyticity of CR mappings into spheres / Chong-Kyu Han -- Optimal analytic disks / J. William Helton and Orlando Merino -- Some remarks on the product property for invariant pseudometrics / Marek Jarnicki and Peter Pflug -- Smoothing of currents and Moišezon manifolds / Shanyu Ji -- Biholomorphic mappings between quasicircular domains in $\mathbf {C}^n$ / Kang-Tae Kim -- Characterizations of certain weakly pseudoconvex domains in $\mathbf {C}^n$ from the viewpoint of biholomorphic automorphism groups / Akio Kodama -- Complete Ricci-flat Kähler metrics on $\mathbf {C}^n$ need not be flat / Claude LeBrun -- On meromorphic maps into varieties of log-general type / Steven Shin-Yi Lu -- Aspects of Kähler geometry on arithmetic varieties / Ngaiming Mok -- Moduli spaces of holomorphic mappings into hyperbolic spaces and its applications / J. Noguchi -- The analytic Radon transform / Salomon Ofman -- Applications of the $\overline \partial $ technique in $L^2$ Hodge theory on complete Kähler manifolds / Takeo Ohsawa -- Bounds on the derivatives of holomorphic endomorphisms / Marius Overholt -- Monge-Ampère functions with large center / Giorgio Patrizio and Pit-Mann Wong -- A characterization of affine varieties / Mathias Peternell -- Compactifications of $\mathbf {C}^n$: a survey / Thomas Peternell and Michael Schneider -- An infinite-dimensional point of view on the Weil-Petersson metric / T. Ratiu and A. Todorov -- The Cartan conjecture for moving targets / Min Ru and Wilhelm Stoll -- On Kollár's conjecture / Morihiko Saito -- An introduction to $L^2$-cohomology / Leslie Saper and Steven Zucker -- On the compactification problems for Stein $3$-folds / Vo Van Tan -- On one of Calabi's problems / Gang Tian -- Multi-dimensional analytic structures and uniform algebras / T. Tonev -- The $\partial \overline \partial $-equation on complex spaces / J. Varouchas -- Fixed points of holomorphic mappings in a bounded convex domain in $\mathbf {C}^n$ / Jean-Pierre Vigué -- Holomorphic functions taking their values in a $q$-space and the Cauchy-Fantappiè formula / L. Waelbroeck -- Schwarz's lemma and Hermitian manifolds with constant holomorphic curvature / B. Wong -- Polynomial functions on complete Kähler manifolds / H. Wu -- The Chern numbers of projective algebraic hypersurfaces / Kichoon Yang -- A review of complex differential geometry / Shing-Tung Yau
- Volume 3. Minimality and the extension of functions from generic manifolds / M. S. Baouendi and Linda Preiss Rothschild -- Holomorphic mappings of real analytic hypersurfaces / Extension of CR structures / David Catlin -- $\mathcal {H}^p$ regularities for NIS operators on weakly pseudo-convex domains of finite type in $\mathbf {C}^2$ / Der-Chen E. Chang and Steven G. Krantz -- Global regularity of the $\overline \partial $-Neumann problem in dimension two / So-Chin Chen -- On the $\overline \partial _b$ equation for three-dimensional CR manifolds / Michael Christ -- Necessary conditions for the local solvability of the tangential CR equations / Paulo Cordaro and François Trèves -- Operator theory on Reinhardt domains / Raúl Curto -- Finite type and the intersection of real and complex subvarieties / John P. D'Angelo -- Local analyticity for the $\overline \partial $-Neumann problem and for $\square _b$ in some model domains without maximal estimates / Makhlouf Derridj and David S. Tartakoff -- On $L^p$ estimates for $\overline \partial $ / John Erik Fornæss and Nessim Sibony -- Approximate projections and analytic pseudolocality of the Szegő projection on domains in $\mathbf {C}^2$ / Daryl Geller -- On an example of a subelliptic boundary value problem / Pengfei Guan -- Degenerate surfaces in $\mathbf {C}^2$ / Gary A. Harris -- Counterexamples to Newlander-Nirenberg up to the boundary / C. Denson Hill -- Finite type analytic partial differential operators and analytic hypoellipticity / A. Alexandrou Himonas -- Singularities of harmonic functions in $\mathbf {C}^n$ / D. Khavinson -- A study of the Bergman projection in certain Hartogs domains / Christer O. Kiselman -- The frame bundles of CR structures and the Bergman kernel. I / Masatake Kuranishi -- Résolution du $\overline \partial _b$ à support compact et phénomène de Hartogs-Bochner dans les variétés CR / Christine Laurent-Thiébaut -- On the regularity of coanalytic Toeplitz operators / Ewa Ligocka -- Obstructions to embedding of real $(2n-1)$-dimensional compact CR manifolds in $\mathbf {C}^{n+1}$ / Hing Sun Luk and Stephen S.-T. Yau -- On sharp Hölder estimates for the solutions of the $\overline \partial $-equations / Jeffery D. McNeal -- Equivalence of analytic and plurisubharmonic Phragmén-Lindelöf conditions / Reinhold Meise, B. A. Taylor and Dietmar Vogt -- The Cauchy-Riemann equations in convex domains / John C. Polking -- Examples of smooth CR structures with only nonsmooth CR functions / Jean-Pierre Rosay -- Noncompactness of the $\overline \partial $-Neumann problem and Toeplitz $C^*$-algebras / Norberto Salinas -- Local solvability and estimates for $\overline \partial _b$ on CR manifolds / Mei-Chi Shaw -- Rigid hypersurfaces in $\mathbf {C}^2$ / Nancy K. Stanton -- The integrability problem for CR vector bundles / S. M. Webster