Ebook: Pluripotential Theory: Cetraro, Italy 2011, Editors: Filippo Bracci, John Erik Fornæss

Pluripotential theory is a very powerful tool in geometry, complex analysis and dynamics. This volume brings together the lectures held at the 2011 CIME session on "pluripotential theory" in Cetraro, Italy. This CIME course focused on complex Monge-Ampére equations, applications of pluripotential theory to Kahler geometry and algebraic geometry and to holomorphic dynamics. The contributions provide an extensive description of the theory and its very recent developments, starting from basic introductory materials and concluding with open questions in current research.

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Pluripotential theory is a very powerful tool in geometry, complex analysis and dynamics. This volume brings together the lectures held at the 2011 CIME session on "pluripotential theory" in Cetraro, Italy. This CIME course focused on complex Monge-Amp?re equations, applications of pluripotential theory to Kahler geometry and algebraic geometry and to holomorphic dynamics. The contributions provide an extensive description of the theory and its very recent developments, starting from basic introductory materials and concluding with open questions in current research.

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Pluripotential theory is a very powerful tool in geometry, complex analysis and dynamics. This volume brings together the lectures held at the 2011 CIME session on "pluripotential theory" in Cetraro, Italy. This CIME course focused on complex Monge-Amp?re equations, applications of pluripotential theory to Kahler geometry and algebraic geometry and to holomorphic dynamics. The contributions provide an extensive description of the theory and its very recent developments, starting from basic introductory materials and concluding with open questions in current research.
Content:
Front Matter....Pages i-ix
Bifurcation Currents in Holomorphic Families of Rational Maps....Pages 1-93
The Complex Monge–Amp?re Equation in K?hler Geometry....Pages 95-141
Applications of Pluripotential Theory to Algebraic Geometry....Pages 143-263
Pluripotential Theory and Monge–Amp?re Foliations....Pages 265-319
Back Matter....Pages 321-322

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Pluripotential theory is a very powerful tool in geometry, complex analysis and dynamics. This volume brings together the lectures held at the 2011 CIME session on "pluripotential theory" in Cetraro, Italy. This CIME course focused on complex Monge-Amp?re equations, applications of pluripotential theory to Kahler geometry and algebraic geometry and to holomorphic dynamics. The contributions provide an extensive description of the theory and its very recent developments, starting from basic introductory materials and concluding with open questions in current research.
Content:
Front Matter....Pages i-ix
Bifurcation Currents in Holomorphic Families of Rational Maps....Pages 1-93
The Complex Monge–Amp?re Equation in K?hler Geometry....Pages 95-141
Applications of Pluripotential Theory to Algebraic Geometry....Pages 143-263
Pluripotential Theory and Monge–Amp?re Foliations....Pages 265-319
Back Matter....Pages 321-322
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