Several complex variables and complex geometry / [electronic resource] Eric Bedford ... [et al.], editors.

By: Summer Research Institute on Several Complex Variables and Complex Geometry (1989 : University of California, Santa Cruz)Contributor(s): Bedford, Eric, 1947- | American Mathematical SocietyMaterial type: TextTextSeries: Proceedings of symposia in pure mathematics ; v. 52.2Publication details: Providence, R.I. : American Mathematical Society, c1991Description: 1 online resource (3 v. : ill.)ISBN: 9780821893494 (online)Subject(s): Functions of several complex variables -- Congresses | Geometry, Differential -- CongressesAdditional physical formats: Several complex variables and complex geometry /DDC classification: 515/.94 LOC classification: QA331.7 | .S86 1989Online resources: Contents | Contents
Contents:
The geometry of complex manifolds: an overview / Robert E. Greene -- http://www.ams.org/pspum/052.2 http://dx.doi.org/10.1090/pspum/052.2/1128531 Angular derivatives in strongly pseudoconvex domains / Marco Abate -- http://www.ams.org/pspum/052.2 http://dx.doi.org/10.1090/pspum/052.2/1128532 Degeneracy points of the Kobayashi pseudodistances on complex manifolds / Yukinobu Adachi and Masakazu Suzuki -- http://www.ams.org/pspum/052.2 http://dx.doi.org/10.1090/pspum/052.2/1128533 On the construction of the moduli space for strongly pseudoconvex domains / Takao Akahori -- http://www.ams.org/pspum/052.2 http://dx.doi.org/10.1090/pspum/052.2/1128534 On the holomorphic sectional curvature of complete domains in $\mathbf {C}^n$ that are not Stein / Andrew Balas -- http://www.ams.org/pspum/052.2 http://dx.doi.org/10.1090/pspum/052.2/1128535 Normal forms for convex domains / J. Bland and T. Duchamp -- http://www.ams.org/pspum/052.2 http://dx.doi.org/10.1090/pspum/052.2/1128536 Homogeneous vector bundles and families of Calabi-Yau threefolds. II / Ciprian Borcea -- http://www.ams.org/pspum/052.2 http://dx.doi.org/10.1090/pspum/052.2/1128537 Holomorphic Morse inequalities / Jean-Pierre Demailly -- http://www.ams.org/pspum/052.2 http://dx.doi.org/10.1090/pspum/052.2/1128538 Some problems / Pierre Dolbeault -- http://www.ams.org/pspum/052.2 http://dx.doi.org/10.1090/pspum/052.2/1128539 Invariants of CR densities / Michael G. Eastwood and C. Robin Graham -- http://www.ams.org/pspum/052.2 http://dx.doi.org/10.1090/pspum/052.2/1128540 Convex symplectic manifolds / Yakov Eliashberg and Mikhael Gromov -- http://www.ams.org/pspum/052.2 http://dx.doi.org/10.1090/pspum/052.2/1128541 Simple partial connections and the Einstein condition / H. R. Fischer and R. J. Fisher, Jr. -- http://www.ams.org/pspum/052.2 http://dx.doi.org/10.1090/pspum/052.2/1128542 Applications of affine geometry to geometric function theory in several complex variables. I. Convergent rescalings and intrinsic quasi-isometric structure / Sidney Frankel -- http://www.ams.org/pspum/052.2 http://dx.doi.org/10.1090/pspum/052.2/1128543 A Lie algebra character and K�ahler-Einstein metrics of positive scalar curvature / Akito Futaki -- http://www.ams.org/pspum/052.2 http://dx.doi.org/10.1090/pspum/052.2/1128544 On the ends of complex manifolds homogeneous under a Lie group / Bruce Gilligan -- http://www.ams.org/pspum/052.2 http://dx.doi.org/10.1090/pspum/052.2/1128545 Determinant line bundles for Hermitian foliations and a generalized Quillen metric / James F. Glazebrook and Franz W. Kamber -- http://www.ams.org/pspum/052.2 http://dx.doi.org/10.1090/pspum/052.2/1128546 Sharp constants for the Koebe theorem and for estimates of intrinsic metrics on convex domains / Ian Graham -- http://www.ams.org/pspum/052.2 http://dx.doi.org/10.1090/pspum/052.2/1128547 Rigid immersions of $G$-structures and analyticity of CR mappings into spheres / Chong-Kyu Han -- http://www.ams.org/pspum/052.2 http://dx.doi.org/10.1090/pspum/052.2/1128548 Optimal analytic disks / J. William Helton and Orlando Merino -- http://www.ams.org/pspum/052.2 http://dx.doi.org/10.1090/pspum/052.2/1128549 Some remarks on the product property for invariant pseudometrics / Marek Jarnicki and Peter Pflug -- http://www.ams.org/pspum/052.2 http://dx.doi.org/10.1090/pspum/052.2/1128550 Smoothing of currents and Moi�sezon manifolds / Shanyu Ji -- http://www.ams.org/pspum/052.2 http://dx.doi.org/10.1090/pspum/052.2/1128551 Biholomorphic mappings between quasicircular domains in $\mathbf {C}^n$ / Kang-Tae Kim -- http://www.ams.org/pspum/052.2 http://dx.doi.org/10.1090/pspum/052.2/1128552 Characterizations of certain weakly pseudoconvex domains in $\mathbf {C}^n$ from the viewpoint of biholomorphic automorphism groups / Akio Kodama -- http://www.ams.org/pspum/052.2 http://dx.doi.org/10.1090/pspum/052.2/1128553 Complete Ricci-flat K�ahler metrics on $\mathbf {C}^n$ need not be flat / Claude LeBrun -- http://www.ams.org/pspum/052.2 http://dx.doi.org/10.1090/pspum/052.2/1128554 On meromorphic maps into varieties of log-general type / Steven Shin-Yi Lu -- http://www.ams.org/pspum/052.2 http://dx.doi.org/10.1090/pspum/052.2/1128555 Aspects of K�ahler geometry on arithmetic varieties / Ngaiming Mok -- http://www.ams.org/pspum/052.2 http://dx.doi.org/10.1090/pspum/052.2/1128556 Moduli spaces of holomorphic mappings into hyperbolic spaces and its applications / J. Noguchi -- http://www.ams.org/pspum/052.2 http://dx.doi.org/10.1090/pspum/052.2/1128557 The analytic Radon transform / Salomon Ofman -- http://www.ams.org/pspum/052.2 http://dx.doi.org/10.1090/pspum/052.2/1128558 Applications of the $\overline \partial $ technique in $L^2$ Hodge theory on complete K�ahler manifolds / Takeo Ohsawa -- http://www.ams.org/pspum/052.2 http://dx.doi.org/10.1090/pspum/052.2/1128559 Bounds on the derivatives of holomorphic endomorphisms / Marius Overholt -- http://www.ams.org/pspum/052.2 http://dx.doi.org/10.1090/pspum/052.2/1128560 Monge-Amp�ere functions with large center / Giorgio Patrizio and Pit-Mann Wong -- http://www.ams.org/pspum/052.2 http://dx.doi.org/10.1090/pspum/052.2/1128561 A characterization of affine varieties / Mathias Peternell -- http://www.ams.org/pspum/052.2 http://dx.doi.org/10.1090/pspum/052.2/1128562 Compactifications of $\mathbf {C}^n$: a survey / Thomas Peternell and Michael Schneider -- http://www.ams.org/pspum/052.2 http://dx.doi.org/10.1090/pspum/052.2/1128563 An infinite-dimensional point of view on the Weil-Petersson metric / T. Ratiu and A. Todorov -- http://www.ams.org/pspum/052.2 http://dx.doi.org/10.1090/pspum/052.2/1128564 The Cartan conjecture for moving targets / Min Ru and Wilhelm Stoll -- http://www.ams.org/pspum/052.2 http://dx.doi.org/10.1090/pspum/052.2/1128565 On Koll�ar's conjecture / Morihiko Saito -- http://www.ams.org/pspum/052.2 http://dx.doi.org/10.1090/pspum/052.2/1128566 An introduction to $L^2$-cohomology / Leslie Saper and Steven Zucker -- http://www.ams.org/pspum/052.2 http://dx.doi.org/10.1090/pspum/052.2/1128567 On the compactification problems for Stein $3$-folds / Vo Van Tan -- http://www.ams.org/pspum/052.2 http://dx.doi.org/10.1090/pspum/052.2/1128568 On one of Calabi's problems / Gang Tian -- http://www.ams.org/pspum/052.2 http://dx.doi.org/10.1090/pspum/052.2/1128569 Multi-dimensional analytic structures and uniform algebras / T. Tonev -- http://www.ams.org/pspum/052.2 http://dx.doi.org/10.1090/pspum/052.2/1128570 The $\partial \overline \partial $-equation on complex spaces / J. Varouchas -- http://www.ams.org/pspum/052.2 http://dx.doi.org/10.1090/pspum/052.2/1128571 Fixed points of holomorphic mappings in a bounded convex domain in $\mathbf {C}^n$ / Jean-Pierre Vigu�e -- http://www.ams.org/pspum/052.2 http://dx.doi.org/10.1090/pspum/052.2/1128572 Holomorphic functions taking their values in a $q$-space and the Cauchy-Fantappi�e formula / L. Waelbroeck -- http://www.ams.org/pspum/052.2 http://dx.doi.org/10.1090/pspum/052.2/1128573 Schwarz's lemma and Hermitian manifolds with constant holomorphic curvature / B. Wong -- http://www.ams.org/pspum/052.2 http://dx.doi.org/10.1090/pspum/052.2/1128574 Polynomial functions on complete K�ahler manifolds / H.
Wu -- http://www.ams.org/pspum/052.2 http://dx.doi.org/10.1090/pspum/052.2/1128575 The Chern numbers of projective algebraic hypersurfaces / Kichoon Yang -- http://www.ams.org/pspum/052.2 http://dx.doi.org/10.1090/pspum/052.2/1128576 A review of complex differential geometry / Shing-Tung Yau -- http://www.ams.org/pspum/052.2 http://dx.doi.org/10.1090/pspum/052.2/1128577
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"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.

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 K�ahler-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 Moi�sezon 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 K�ahler 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 K�ahler 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 K�ahler manifolds / Takeo Ohsawa -- Bounds on the derivatives of holomorphic endomorphisms / Marius Overholt -- Monge-Amp�ere 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 Koll�ar'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 Vigu�e -- Holomorphic functions taking their values in a $q$-space and the Cauchy-Fantappi�e formula / L. Waelbroeck -- Schwarz's lemma and Hermitian manifolds with constant holomorphic curvature / B. Wong -- Polynomial functions on complete K�ahler manifolds / H.

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The Chern numbers of projective algebraic hypersurfaces / Kichoon Yang -- A review of complex differential geometry / Shing-Tung Yau --

Wu --

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