Arata Komyo. Description of generalized isomonodromic deformations of rank two linear differential equations using apparent singularities. Publications of the Research Institute for Mathematical Sciences. 2024. 60. 1. 185-269
Arata Komyo. A nonclassical algebraic solution of a 3-variable irregular Garnier system. Funkcialaj Ekvacioj. 2024. 67. 1. 85-104
Arata Komyo, Frank Loray, Masa-Hiko Saito. Moduli space of irregular rank two parabolic bundles over the Riemann sphere and its compactification. Advances in Mathematics. 2022. 410, part B. 3
Arata Komyo. Hamiltonian structures of isomonodromic deformations on moduli spaces of parabolic connections. Journal of the Mathematical Society of Japan. 2022. 74. 2. 473-519
Arata Komyo. A family of flat connections on the projective space having dihedral monodromy and algebraic Garnier solutions. Annales de la Faculté des Sciences de Toulouse. 2021. 6. 30. 479-501
Arata Komyo, Frank Loray, Masa-Hiko Saito, Szilárd Szabó. Canonical coordinates for moduli spaces of rank two irregular connections on curves. arXiv:2309.05012. 2023
光明 新. Geometric description of the moduli space of parabolic connections on P1 {t1, . . . , t5} and the universal family. 代数幾何学シンポジウム記録. 2015. 2015. 169-169
光明 新. On compactifications of character varieties and a conjecture of Simpson. 射影多様体の幾何とその周辺2012報告集. 2012
講演・口頭発表等 (31件):
Compactification of moduli spaces of connections and Okamoto--Painlevé pairs
(Moduli spaces of connections, Higgs Bundles and Riemann-Hilbert correspondences 2024)
Canonical coordinates for moduli spaces of rank two irregular connections on curves
(パンルヴェ方程式の幾何学とその周辺 2024)
A nonclassical algebraic solution of a 3-variable irregular Garnier system
(The 3rd Shot of The 13th MSJ-SI "Differential Geometry and Integrable Systems" (Short Communications) 2023)
Moduli space of irregular rank two parabolic bundles over the Riemann sphere and its compactification
(城崎代数幾何学シンポジウム 2022 2022)
Moduli space of irregular rank two parabolic bundles over the Riemann sphere and its compactification
(Web-seminar on Painlevé Equations and related topics 2022)