The Resource Complex Analysis and Geometry : KSCV10, Gyeongju, Korea, August 2014, edited by Filippo Bracci, Jisoo Byun, Hervé Gaussier, Kengo Hirachi, Kang-Tae Kim, Nikolay Shcherbina, (electronic resource)

Complex Analysis and Geometry : KSCV10, Gyeongju, Korea, August 2014, edited by Filippo Bracci, Jisoo Byun, Hervé Gaussier, Kengo Hirachi, Kang-Tae Kim, Nikolay Shcherbina, (electronic resource)

Label
Complex Analysis and Geometry : KSCV10, Gyeongju, Korea, August 2014
Title
Complex Analysis and Geometry
Title remainder
KSCV10, Gyeongju, Korea, August 2014
Statement of responsibility
edited by Filippo Bracci, Jisoo Byun, Hervé Gaussier, Kengo Hirachi, Kang-Tae Kim, Nikolay Shcherbina
Contributor
Editor
Editor
Subject
Language
  • eng
  • eng
Summary
This volume includes 28 chapters by authors who are leading researchers of the world describing many of the up-to-date aspects in the field of several complex variables (SCV). These contributions are based upon their presentations at the 10th Korean Conference on Several Complex Variables (KSCV10), held as a satellite conference to the International Congress of Mathematicians (ICM) 2014 in Seoul, Korea. SCV has been the term for multidimensional complex analysis, one of the central research areas in mathematics. Studies over time have revealed a variety of rich, intriguing, new knowledge in complex analysis and geometry of analytic spaces and holomorphic functions which were "hidden" in the case of complex dimension one. These new theories have significant intersections with algebraic geometry, differential geometry, partial differential equations, dynamics, functional analysis and operator theory, and sheaves and cohomology, as well as the traditional analysis of holomorphic functions in all dimensions. This book is suitable for a broad audience of mathematicians at and above the beginning graduate-student level. Many chapters pose open-ended problems for further research, and one in particular is devoted to problems for future investigations
Member of
Dewey number
510
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsedt
  • YzSD1ArheoI
  • MV9mqKNIJ8A
  • tJQvJPeD7nM
  • hgi3f-TDYjs
  • DDodP50s0Rw
  • f0dotlGU31k
Language note
English
LC call number
QA331.7
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
  • Bracci, Filippo.
  • Byun, Jisoo.
  • Gaussier, Hervé.
  • Hirachi, Kengo.
  • Kim, Kang-Tae.
  • Shcherbina, Nikolay.
Series statement
Springer Proceedings in Mathematics & Statistics,
Series volume
144
http://library.link/vocab/subjectName
  • Differential equations, partial
  • Geometry, algebraic
  • Functions of complex variables
  • Global differential geometry
  • Several Complex Variables and Analytic Spaces
  • Algebraic Geometry
  • Functions of a Complex Variable
  • Differential Geometry
Label
Complex Analysis and Geometry : KSCV10, Gyeongju, Korea, August 2014, edited by Filippo Bracci, Jisoo Byun, Hervé Gaussier, Kengo Hirachi, Kang-Tae Kim, Nikolay Shcherbina, (electronic resource)
Instantiates
Publication
Note
"KSCV10 (the 10th) Symposium was held during 7-11 July 2014, as a satellite conference to the ICM"--Preface
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
  • 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 Comparision 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
Dimensions
unknown
Edition
1st ed. 2015.
Extent
1 online resource (370 p.)
Form of item
online
Isbn
9784431557449
Media category
computer
Media type code
  • c
Other control number
10.1007/978-4-431-55744-9
Specific material designation
remote
System control number
  • (CKB)3710000000460532
  • (EBL)3568061
  • (SSID)ssj0001546684
  • (PQKBManifestationID)16140912
  • (PQKBTitleCode)TC0001546684
  • (PQKBWorkID)14796265
  • (PQKB)11632001
  • (DE-He213)978-4-431-55744-9
  • (MiAaPQ)EBC3568061
  • (EXLCZ)993710000000460532
Label
Complex Analysis and Geometry : KSCV10, Gyeongju, Korea, August 2014, edited by Filippo Bracci, Jisoo Byun, Hervé Gaussier, Kengo Hirachi, Kang-Tae Kim, Nikolay Shcherbina, (electronic resource)
Publication
Note
"KSCV10 (the 10th) Symposium was held during 7-11 July 2014, as a satellite conference to the ICM"--Preface
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
  • 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 Comparision 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
Dimensions
unknown
Edition
1st ed. 2015.
Extent
1 online resource (370 p.)
Form of item
online
Isbn
9784431557449
Media category
computer
Media type code
  • c
Other control number
10.1007/978-4-431-55744-9
Specific material designation
remote
System control number
  • (CKB)3710000000460532
  • (EBL)3568061
  • (SSID)ssj0001546684
  • (PQKBManifestationID)16140912
  • (PQKBTitleCode)TC0001546684
  • (PQKBWorkID)14796265
  • (PQKB)11632001
  • (DE-He213)978-4-431-55744-9
  • (MiAaPQ)EBC3568061
  • (EXLCZ)993710000000460532

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