2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/129477We study the degree growth of iterates of meromorphic selfmaps of compact Kahler surfaces. Using cohomology classes on the Riemann-Zariski space we show that the degrees grow similarly to those of mappings that are algebraically stable on some birational model.17 pages, final version, to appear in Duke Math JournalDynamical SystemsAlgebraic Geometrytext