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Complex Analysis and Geometry : KSCV10, Gyeongju, Korea, August 2014 / / edited by Filippo Bracci, Jisoo Byun, Hervé Gaussier, Kengo Hirachi, Kang-Tae Kim, Nikolay Shcherbina
Complex Analysis and Geometry : KSCV10, Gyeongju, Korea, August 2014 / / edited by Filippo Bracci, Jisoo Byun, Hervé Gaussier, Kengo Hirachi, Kang-Tae Kim, Nikolay Shcherbina
Edizione [1st ed. 2015.]
Pubbl/distr/stampa Tokyo : , : Springer Japan : , : Imprint : Springer, , 2015
Descrizione fisica 1 online resource (370 p.)
Disciplina 516.362
Collana Springer Proceedings in Mathematics & Statistics
Soggetto topico Functions of complex variables
Geometry, Algebraic
Geometry, Differential
Several Complex Variables and Analytic Spaces
Algebraic Geometry
Functions of a Complex Variable
Differential Geometry
ISBN 4-431-55744-X
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Preface; Contents; Fatou Flowers and Parabolic Curves; 1 The Original Leau-Fatou Flower Theorem; 2 Écalle-Hakim Theory; 3 Blow-Ups, Indices and Fatou Flowers; 4 Parabolic Domains; 5 The Formal Infinitesimal Generator ; 6 Homogeneous Vector Fields and Geodesics; 7 Other Systems with Parabolic Behavior; References; A CR Proof for a Global Estimate of the Diederich--Fornaess Index of Levi-Flat Real Hypersurfaces; 1 Introduction; 2 Preliminaries; 2.1 Levi-Flat CR Manifold; 2.2 Description on Foliated Charts; 2.3 The Diederich--Fornaess Index; 3 The Proof of Lemma 1 and a Remark
3.1 Proof of Lemma 13.2 The Approach of Bejancu and Deshmukh; 3.3 Open Question; References; Unbounded Pseudoconvex Domains in mathbbCn and Their Invariant Metrics; 1 Some Problems; 2 A Remark on Hahn-Lu Comparison Theorem; 3 A Technique for Positivity and Completeness of Bergman Metric; 4 Examples; 4.1 The Kohn-Nirenberg and Fornaess Domains; 4.2 Other Domains; 5 Remarks and More Questions; References; Abstract Basins of Attraction; 1 The Construction of Abstract Basins; 2 Bedford's Conjecture; 3 Loewner's Theory; 4 Models; References; Invertible Dynamics on Blow-ups of mathbbPk
1 Introduction2 Rational Surfaces; 3 Degree Complexity, or Dynamical Degree; 4 Some Rational Surface Automorphisms with δ>1; 5 Connection Between Dynamical Degree and Length Growth: A Graphic Example ; 6 Heuristic Picture: Dynamical Complexity Versus Degree Complexity ; 7 What Are the Compact Surfaces X Which Carry an finAut(X) with δ1(f)>1?; 8 Pseudo-automorphisms; 9 Intermediate Dynamical Degrees; 10 Existence of Pseudo-automorphisms of Blowups of mathbbPk ; 11 Cohomological Hyperbolicity; References
On Nazarov's Complex Analytic Approach to the Mahler Conjecture and the Bourgain-Milman Inequality1 Introduction; 2 Equivalent SCV Formulation; 3 The Upper Bound; 4 The Lower Bound; References; A Survey on Bergman Completeness; 1 Introduction; 2 Bergman Completeness for Domains in mathbbCn; 3 Bergman Completeness for Open Complex Manifolds; References; Structure Theorems for Compact Kähler Manifolds with Nef Anticanonical Bundles; 1 Introduction and Preliminaries; 2 Criterion for Rational Connectedness; 3 A Generalized Holonomy Principle
4 Structure Theorem for Compact Kähler Manifolds with KX-1 Semipositive5 Compact Kähler Manifolds with Nef Anticanonical Bundles; References; An Estimate for the Squeezing Function and Estimates of Invariant Metrics; 1 Introduction; 2 Proof of Theorem 1.2; 3 Proof of Theorem 1.1; 3.1 Estimate (a); 3.2 Estimate (b); 4 An Example; References; Classification of Proper Holomorphic Mappings Between Generalized Pseudoellipsoids of Different Dimensions; 1 The Research of Proper Holomorphic Mappings; 1.1 Extension Problem; 1.2 Proper Holomorphic Mappings and Biholomorphic Mappings
1.3 Determination of Proper Holomorphic Mappings
Record Nr. UNINA-9910299776203321
Tokyo : , : Springer Japan : , : Imprint : Springer, , 2015
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Geometric Function Theory in Higher Dimension / / edited by Filippo Bracci
Geometric Function Theory in Higher Dimension / / edited by Filippo Bracci
Edizione [1st ed.. 2017.]
Pubbl/distr/stampa Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017
Descrizione fisica 1 online resource (185 pages)
Disciplina 515.94
Collana Springer INdAM Series
Soggetto topico Functions of complex variables
Functional analysis
Dynamics
Several Complex Variables and Analytic Spaces
Functions of a Complex Variable
Functional Analysis
Dynamical Systems
ISBN 3-319-73126-2
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto 1 Matteo Fiacchi, The Embedding Conjecture and the Approximation Conjecture in Higher Dimension -- 2 Mark Elin and David Shoikhet, Fixed Points of Pseudo-Contractive Holomorphic Mappings -- 3 Leandro Arosio, On Parabolic Dichomoty -- 4 Cho-Ho Chu, Jordan Structures in Bounded Symmetric Domains -- 5 Hervé Gaussier and Cezar Joita, On Runge Neighborhoods of Closures of Domains Biholomorphic to a Ball -- 6 Pavel Gumenyuk, Parametric Representations and Boundary Fixed Points of Univalent Self-Maps of the Unit Disk -- 7 Oliver Roth, Is there a Teichmuller principle in higher dimensions? -- 8 Jerry R. Muir Jr., Open Problems Related to a Herglotz-Type Formula for Vector-Valued Mappings -- 9 Hidetaka Hamada et al., Extremal Problems and Convergence Results for Mappings with Generalized Parametric Representation in Cn -- 10 Nathan Albin and Pietro Poggi-Corradini, Open Problems and New Directions for p-Modulus on Networks -- 11 Hervé Gaussier, Metric Properties of Domains in Cn -- 12 Dov Aharonov andU. Elias, On a Solution of a Particular Case of Aliaga-Tuneski Question -- 13 Ian Graham et al., Loewner Chains and Extremal Problems for Mappings with A-Parametric Representation Cn.
Record Nr. UNINA-9910279755503321
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui