Equidistribution towards the Green current in big cohomology classes
Turgay Bayraktar
TL;DR
This paper investigates how sequences of pull-backs of smooth forms and positive currents distribute in the limit under meromorphic self-maps on compact Kähler manifolds, contributing to complex dynamics and geometry.
Contribution
It introduces a new approach to understanding the equidistribution of pull-backs towards the Green current in big cohomology classes for meromorphic maps.
Findings
Establishes conditions for convergence to the Green current.
Provides new techniques for analyzing the distribution of currents.
Enhances understanding of dynamics in big cohomology classes.
Abstract
We study limiting distribution of the sequence of pull-backs of smooth forms and positive closed currents by meromorphic self-maps of compact K\"ahler manifolds.
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Taxonomy
TopicsGeometry and complex manifolds · Meromorphic and Entire Functions · Algebraic Geometry and Number Theory