@article{oai:kumadai.repo.nii.ac.jp:00029224, author = {眞野, 智行 and Mano, Toshiyuki}, journal = {KUMAMOTO JOURNAL OF MATHEMATICS}, month = {May}, note = {application/pdf, 論文(Article), We formulate a monodromy preserving deformation (MPD) of Fuchsian differential equations on an irreducible rational curve with one node (which we call a rational nodal curve) and derive systems of differential equations that govern the MPD on the rational nodal curve. We also show that the MPD systems on a rational nodal curve are solved in terms of a solution to the sixth Painlevé equation and a τ-quotient associated with it. The results in this paper provide a geometric background for the asymptotic analysis on the system of differential equations that governs the MPD on elliptic curves around the boundary in the moduli space of elliptic curves.}, pages = {1--32}, title = {Monodromy preserving deformation of linear differential equations on a rational nodal curve}, volume = {24}, year = {2011} }