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 …

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 …

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 …

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 …

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 …

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 …

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 map** class groups on
two-dimensional character varieties, also called trace-map dynamics in the literature, as …

Let $ X $ be a smooth projective variety defined over $\overline {\Bbb {Q}} $, and $ f\colon
X\dashrightarrow X $ be a dominant rational map. Let $\delta_f $ be the first dynamical …

For classical dynamical systems, the polynomial entropy serves as a refined invariant of the
topological entropy. In the setting of categorical dynamical systems, that is, triangulated …