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 …

A dominant rational self-map on a projective variety is called $ p $-cohomologically
hyperbolic if the $ p $-th dynamical degree is strictly larger than other dynamical degrees …

We study the main open parts of the Kawaguchi--Silverman Conjecture, asserting that for a
birational self-map $ f $ of a smooth projective variety $ X $ defined over $\overline {\mathbb …

Consider a cohomologically hyperbolic birational self-map defined over the algebraic
numbers, for example, a birational self-map in dimension two with the first dynamical degree …

We illustrate the use of the notion of derived recurrences introduced earlier to evaluate the
algebraic entropy of self-maps of projective spaces. We in particular give an example, where …

We get three basic results in algebraic dynamics:(1). We give the first algorithm to compute
the dynamical degrees to arbitrary precision.(2). We prove that for a family of dominant …

Some interesting birational morphisms of smooth affine quadric 3-folds Page 1 Nonlinearity
PAPER • OPEN ACCESS Some interesting birational morphisms of smooth affine quadric 3-folds …

In this note we give an overview of various quantities that are used to measure the
complexity of an algebraic dynamical system f: X--> X, including the dynamical degree d (f) …

We consider some algebraic aspects of the dynamics of an automorphism on a family of
polarized abelian varieties parameterized by the complex unit disk. When the action on the …

We prove that for a dominant rational self-map $ f $ on a quasi-projective variety defined
over $\overline {\mathbb {Q}} $, there is a point whose $ f $-orbit is well-defined and its …