Green Currents for Meromorphic Maps of Compact K\"ahler Manifolds
Turgay Bayraktar
TL;DR
This paper investigates the dynamics of meromorphic maps on compact Kähler manifolds, focusing on the non-nef locus of invariant classes and conditions for Green currents existence in codimension one.
Contribution
It provides new criteria for the existence of Green currents and characterizes the non-nef locus of invariant classes in this setting.
Findings
Criteria for Green currents existence in codimension one
Characterization of the non-nef locus of invariant classes
Conditions linking dynamics and geometric properties
Abstract
We consider the dynamics of meromorphic maps of compact K\"ahler manifolds. In this work, our goal is to locate the non-nef locus of invariant classes and provide necessary and sufficient conditions for existence of Green currents in codimension one.
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