Geodesic
Kohno systems on Manin--Schechtman configuration spaces
Contemporary Mathematics. Fundamental Directions, Proceedings of the Sixth International Conference on Differential and Functional-Differential Equations (Moscow, August 14–21, 2011). Part 2, Tome 46 (2012), pp. 120-128

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We consider multidimensional Fuchsian linear differential equations on the Manin–Schechtman configuration spaces, obtained by the Kohno construction. We study integrability of these systems in the sense of Frobenius and some of their reductions. 
@article{CMFD_2012_46_a5,
     author = {V. P. Leksin},
     title = {Kohno systems on {Manin--Schechtman} configuration spaces},
     journal = {Contemporary Mathematics. Fundamental Directions},
     pages = {120--128},
     publisher = {mathdoc},
     volume = {46},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CMFD_2012_46_a5/}
}
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V. P. Leksin. Kohno systems on Manin--Schechtman configuration spaces. Contemporary Mathematics. Fundamental Directions, Proceedings of the Sixth International Conference on Differential and Functional-Differential Equations (Moscow, August 14–21, 2011). Part 2, Tome 46 (2012), pp. 120-128. http://geodesic.mathdoc.fr/item/CMFD_2012_46_a5/