dorsal/arxiv
View SchemaZeros of the Jimbo, Miwa, Ueno tau function
| Authors | John Palmer |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9810004 |
| URL | https://arxiv.org/abs/solv-int/9810004 |
| DOI | 10.1063/1.533112 |
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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"abstract": "We introduce a family of local deformations for meromorphic connections on\nthe Riemann sphere in the neighborhood of a higher rank (simple) singularity.\nFollowing a scheme introduced by Malgrange we use these local models to prove\nthat the zeros of the tau function introduced by Jimbo, Miwa and Ueno occur\nprecisely at those points in the deformation space at which a certain\nBirkhoff-Riemann- Hilbert problem fails to have a solution.",
"arxiv_id": "solv-int/9810004",
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"John Palmer"
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"doi": "10.1063/1.533112",
"title": "Zeros of the Jimbo, Miwa, Ueno tau function",
"url": "https://arxiv.org/abs/solv-int/9810004"
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