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math.AG2024
Parabolic bifurcation loci in the spaces of rational functions
Yûsuke Okuyama
We give a geometric description of the parabolic bifurcation locus in the space of all rational functions on of degree , generalizing the…
math.AG2020
On a degenerating limit theorem of DeMarco--Faber
Yûsuke Okuyama
One of our aims is to complement the proof of DeMarco--Faber's degenerating limit theorem for the family of the unique maximal entropy measures parametrized by a punctured open dis…
math.AG2019
Lehto--Virtanen-type and big Picard-type theorems for Berkovich analytic spaces
Yûsuke Okuyama
In non-archimedean setting, we establish a Lehto--Virtanen-type theorem for a morphism from the punctured Berkovich closed unit disk in the Be…