[PDF][PDF] Recent advances on Kawaguchi-Silverman conjecture

Y Matsuzawa - arXiv preprint arXiv:2311.15489, 2023 - arxiv.org
arXiv:2311.15489v1 [math.AG] 27 Nov 2023 Page 1 arXiv:2311.15489v1 [math.AG] 27 Nov 2023
RECENT ADVANCES ON KAWAGUCHI-SILVERMAN CONJECTURE YOHSUKE MATSUZAWA …

Sur les groupes de transformations birationnelles des surfaces

S Cantat - Annals of mathematics, 2011 - JSTOR
Nous étudions les groupes de type fini agissant par transformations birationnelles sur les
surfaces complexes compactes kählériennes. Nous montrons (a) que le groupe des …

Distribution des valeurs de transformations méromorphes et applications

TC Dinh, N Sibony - Commentarii Mathematici Helvetici, 2006 - content.ems.press
Distribution des valeurs de transformations méromorphes et applications Page 1 Comment.
Math. Helv. 81 (2006), 221–258 Commentarii Mathematici Helvetici © Swiss Mathematical …

Dynamical degrees of birational transformations of projective surfaces

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 …

Regularization of currents and entropy

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 …

Relative dynamical degrees of correspondences over a field of arbitrary characteristic

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 …

Super-potentials of positive closed currents, intersection theory and dynamics

TC Dinh, N Sibony - 2009 - projecteuclid.org
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 …

Comparison of dynamical degrees for semi-conjugate meromorphic maps

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 …

Bers and hénon, painlevé and schrödinger

S Cantat - 2009 - projecteuclid.org
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 …

Degrees of iterates of rational maps on normal projective varieties

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 …