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

ISBN-13: 9783642364204 / Angielski / Miękka / 2013 / 319 str.

Giorgio Patrizio;Zbigniew Błocki;Francois Berteloot

Opis

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-Ampere equations, applications of pluripotential theory to Kahler geometry and algebraic geometry and to holomorphic dynamics.

Spis treści

On Bifurcation Currents in Holomorphic Families of Rational maps.- The Complex Monge–Ampère Equation in Kähler Geometry.- Applications of Pluripotential Theory to Algebraic Geometry.- Pluripotential Theory and Monge–Ampère Foliations.

Blurb

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.