4 papers
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- rational self-maps of the projective line. We compute the degree of every three-dimensional orbit cycle i…
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…
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,…
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…