4 papers
Intrinsic semistable reduction loci for the iterations of non-archimedean quadratic rational functions
Yûsuke Okuyama
We introduce the intrinsic reduction of a non-archimedean rational function at each non-classical point in the Berkovich projective line, which can extend the potential GIT-semista…
Semistable reductions and minimalities of invariants for group scheme actions on projective schemes
Rin Gotou, Yûsuke Okuyama
Let be an algebraically closed and complete non-archimedean and non-trivially valued field, and let be a reductive group scheme acting on a flat projective scheme defin…
Selberg and Brolin on value distribution of complex dynamics
Yûsuke Okuyama
The Brolin-Lyubich-Freire--Lopes--Mañé equidistribution theorem for iterated preimages of a given non-exceptional value and Lyubich's periodic point version of it are foundationa…
The intrinsic reductions and the intrinsic depths in non-archimedean dynamics
Yûsuke Okuyama
In this short paper, we aim at giving a more conceptual and simpler proof of Rumely's moduli theoretic characterization of type II minimal locus of the resultant function $\operato…