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Title of Journal: Math Ann

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Abbravation: Mathematische Annalen

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Springer Berlin Heidelberg

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DOI

10.1016/0014-2999(81)90045-5

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1432-1807

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Isomonodromic deformations of logarithmic connecti

Authors: Indranil Biswas Viktoria Heu Jacques Hurtubise
Publish Date: 2015/10/27
Volume: 366, Issue: 1-2, Pages: 121-140
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Abstract

Assume that g ge 2 and n= 0 Then there is a closed complex analytic subset mathcal Y subset text Teich gn of codimension at least g such that for any tin text Teich gn setminus mathcal Y the principal Gbundle mathcal E Gvert mathcal X t is semistable where mathcal X t is the compact Riemann surface over tAssume that gge 1 and if g= 1 then n 0 Also assume that the monodromy representation for nabla 0 does not factor through some proper parabolic subgroup of G Then there is a closed complex analytic subset mathcal Y subset text Teich gn of codimension at least g such that for any tin text Teich gn setminus mathcal Y the principal Gbundle mathcal E Gvert mathcal X t is semistableAssume that gge 2 Assume that the monodromy representation for nabla 0 does not factor through some proper parabolic subgroup of G Then there is a closed complex analytic subset mathcal Y subset text Teich gn of codimension at least g1 such that for any tin text Teich gn setminus mathcal Y the principal Gbundle mathcal E Gvert mathcal X t is stableWe thank the referee for helpful comments We thank Université de Brest for hospitality where the work was initiated The first author is supported by a J C Bose Fellowship The second author is supported by ANR13BS01000101 and ANR13JS01000201

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