Equidistribution towards the Green current in big cohomology classes

Details Equidistribution towards the Green current in big cohomology classes Equidistribution towards the Green current in big cohomology classes

2012-04-23

arxiv.org/abs/1204.5163v1

Mathematics

Complex Variables

23 pages

Scientific paper

Let $f:X\to X$ be a dominant meromorphic map of a compact K\"ahler manifold
and $\lambda>1$ such that $f^*\alpha=\lambda\alpha$ for some $\alpha\in
H^{1,1}_{psef}(X,\Bbb{R}).$ Under natural dynamical assumptions on $f$, we
provide sufficient conditions on positive closed currents in $\alpha$ whose
pull-backs converge to the Green current associated to the class $\alpha.$

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