Rin Gotou

activity

20192026

collaborators

6 papers

math.AG2026

Chow Quotient Moduli Space of Dynamical Systems on the Projective Line and Rescaling Limits

Rin Gotou

We study Chow-quotient compactifications of the moduli space of degree- $d$ rational self-maps of the projective line. We compute the degree of every three-dimensional orbit cycle i…

math.AG2026

Semistable reductions and minimalities of invariants for group scheme actions on projective schemes

Rin Gotou, Yûsuke Okuyama

Let $K$ be an algebraically closed and complete non-archimedean and non-trivially valued field, and let $G$ be a reductive group scheme acting on a flat projective scheme $X$ defin…

math.DS2023

Dynamical Systems of Correspondences on the Projective Line II: Degrees of Multiplier Maps

Rin Gotou

This paper is a sequel of arXiv:2109.06394. In this paper, we consider a kind of inverse problem of multipliers. The problem is to count number of isospectral correspondences, corr…

math.AC2022

Bracket Polynomial Expression of Discriminant-Resultants as SL2-invariant

Rin Gotou

We give a bracket polynomial expression for intermediate terms between discriminant and resultant for pair of binary forms. As an application of the bracket polynomial expression,…

math.DS2021

Dynamical Systems of Correspondences on the Projective Line I: Moduli Spaces and Multiplier Maps

Rin Gotou

We consider moduli spaces of dynamical systems of correspondences over the projective line as a generalization of moduli spaces of dynamical systems of endomorphisms on the project…

math.NT2019

Arithmetic Convergence of Double-iterated Polynomials

Rin Gotou

Let $f$ be a polynomial with integer coefficients such that $f (n)$ positive for any positive integer $n$ . We consider diverging sequences ${y_{n}}$ given by $y_{0} = b$ and $y_{n+1}…