We give a natural generalization of the Dinh-Sibony notion of density currents in the setting where the ambient manifold is not necessarily Kahler. As an application, we show that the algebraic entropy of meromorphic self-maps of compact complex surfaces is a finite bi-meromorphic invariant.
机构:
Inst Nacl Matemat Pura & Aplicada, Estr Dona Castor Ina 110, BR-22460320 Rio De Janeiro, RJ, Brazil
Natl Res Univ HSE, Fac Math, Lab Algebra Geometry, 7 Vavilova Str, Moscow, RussiaUniv Firenze, Dipartimento Matemat & Informat Ulisse Dini, Viale Morgagni 67-A, I-50134 Florence, Italy