Geodesic
On the Tau Function for the Schlesinger Equation of Isomonodromic Deformations
Matematičeskie zametki, Tome 74 (2003) no. 2, pp. 184-191

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The tau function for the Schlesinger equation of isomonodromic deformations is represented as the result of successively applied elementary gauge transformations; this, in particular, suggests a simple proof for the Miwa theorem about the tau function. 
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     author = {A. A. Bolibrukh},
     title = {On the {Tau} {Function} for the {Schlesinger} {Equation} of {Isomonodromic} {Deformations}},
     journal = {Matemati\v{c}eskie zametki},
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     number = {2},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2003_74_2_a1/}
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A. A. Bolibrukh. On the Tau Function for the Schlesinger Equation of Isomonodromic Deformations. Matematičeskie zametki, Tome 74 (2003) no. 2, pp. 184-191. http://geodesic.mathdoc.fr/item/MZM_2003_74_2_a1/