Nous étudions les groupes de type fini agissant par transformations birationnelles sur les surfaces complexes compactes kählériennes. Nous montrons (a) que le groupe des …
J Blanc, S Cantat - Journal of the American Mathematical Society, 2016 - ams.org
The dynamical degree $\lambda (f) $ of a birational transformation $ f $ measures the exponential growth rate of the degree of the formulas that define the $ n $ th iterate of $ f …
TC Dinh, N Sibony - Annales scientifiques de l'Ecole normale supérieure, 2004 - Elsevier
Let T be a positive closed (p, p)-current on a compact Kähler manifold X. We prove the existence of smooth positive closed (p, p)-forms Tn+ and Tn− such that Tn+− Tn−→ T …
TT Truong - Journal für die reine und angewandte Mathematik …, 2020 - degruyter.com
Let 𝕂 be an algebraically closed field of arbitrary characteristic, X and Y irreducible possibly singular algebraic varieties over 𝕂. Let f: X⊢ X and g: Y⊢ Y be dominant correspondences …
We introduce a notion of super-potential for positive closed currents of bidegree (p, p) on projective spaces. This gives a calculus on positive closed currents of arbitrary bidegree. We …
TC Dinh, VA Nguyên - Commentarii Mathematici Helvetici, 2011 - ems.press
Let f WX! X be a dominant meromorphic map on a projective manifold X which preserves a meromorphic fibration WX! Y of X over a projective manifold Y. We establish formulas …
In this article, we pursue the study of the holomorphic dynamics of mapping class groups on two-dimensional character varieties, also called trace-map dynamics in the literature, as …
NB Dang - Proceedings of the London Mathematical Society, 2020 - Wiley Online Library
Let X be a normal projective variety defined over an algebraically closed field of arbitrary characteristic. We study the sequence of intermediate degrees of the iterates of a dominant …