Zeros of the Jimbo, Miwa, Ueno tau function

John Palmer

doi:10.1063/1.533112

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arXiv · solv-int/9810004

Zeros of the Jimbo, Miwa, Ueno tau function

John Palmer

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Abstract

We introduce a family of local deformations for meromorphic connections on the Riemann sphere in the neighborhood of a higher rank (simple) singularity. Following a scheme introduced by Malgrange we use these local models to prove that the zeros of the tau function introduced by Jimbo, Miwa and Ueno occur precisely at those points in the deformation space at which a certain Birkhoff-Riemann- Hilbert problem fails to have a solution.

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John Palmer. 1998-10-06. Zeros of the Jimbo, Miwa, Ueno tau function. https://doi.org/10.1063/1.533112

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