Complex Monge–Ampère Equations and Geodesics in the Space of Kähler Metrics

• Corporate Author: SpringerLink (Online service)
• Other Authors: Guedj, Vincent (Editor)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2012.
• Series: Lecture Notes in Mathematics, 2038
• Subjects: Mathematics.; Algebraic geometry.; Partial differential equations.; Functions of complex variables.; Differential geometry.; Several Complex Variables and Analytic Spaces.; Differential Geometry.; Partial Differential Equations.; Algebraic Geometry.

The purpose of these lecture notes is to provide an introduction to the theory of complex Monge–Ampère operators (definition, regularity issues, geometric properties of solutions, approximation) on compact Kähler manifolds (with or without boundary). These operators are of central use in several fun...