4 papers
math.NT2026
On higher dimensional integrality and multiplicative dependence in semigroup algebraic dynamics
Jorge Mello, Yu Yasufuku
We study multiplicative dependence of points in semigroup orbits in higher dimensions. More specifically, we show that the non-density of integral points in semigroup orbits implie…
math.NT2019
Greatest common divisors of integral points of numerically equivalent divisors
Julie Tzu-Yueh Wang, Yu Yasufuku
We generalize the G.C.D. results of Corvaja--Zannier and Levin on to more general settings. More specifically, we analyze the height of a closed subscheme of codime…
math.NT2016
Integral points and orbits of endomorphisms on the projective plane
Aaron Levin, Yu Yasufuku
We analyze when integral points on the complement of a finite union of curves in are potentially dense. We divide the analysis of these affine surfaces based on thei…
math.DS2012
Exponential-polynomial equations and dynamical return sets
Thomas Scanlon, Yu Yasufuku
We show that for each finite sequence of algebraic integers and polynomials with algebraic integer co…