An equidistribution theorem for certain birational maps of ℙk

Abstract

We prove an equidistribution theorem of positive closed currents for a certain class of birational maps [Formula: see text] of algebraic degree [Formula: see text] satisfying [Formula: see text], where [Formula: see text] is the inverse of [Formula: see text] and [Formula: see text] are the sets of indeterminacy for [Formula: see text], respectively.