1998/10/06 by John Palmer · 1 citation
Physics and Astronomy · #solv-int #nlin.SI
paper · pdf · doi:10.1063/1.533112
59 pages
arxiv created 1998/10/06 · arxiv updated 2009/11/30
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.