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Relative dynamical degrees of correspondences over a field of arbitrary characteristic

2018
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Journal für die Reine und Angewandte Mathematik
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Let {\mathbb{K}} be an algebraically closed field of arbitrary characteristic, X and Y irreducible possibly singular algebraic varieties over {\mathbb{K}} . Let {f:X\vdash X} and {g:Y\vdash Y} be dominant correspondences, and {\pi:X\dashrightarrow Y} a dominant rational map which semi-conjugate f and g, i.e. so that {\pi\circ f=g\circ\pi} . We define relative dynamical degrees {\lambda_{p}(f|\pi)\geq 1} for any {p=0,\dots,\dim(X)-\dim(Y)} . These degrees measure the relative growth of positive

doi:10.1515/crelle-2017-0052
fatcat:4ibrp6h6araklgobdfecmifyjm