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arXiv · 1703.07203

Isomonodromic deformations and very stable vector bundles of rank two

Indranil Biswas·Viktoria Heu·Jacques Hurtubise
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Abstract

For the universal isomonodromic deformation of an irreducible logarithmic rank two connection over a smooth complex projective curve of genus at least two, consider the family of holomorphic vector bundles over curves underlying this universal deformation. In a previous work we proved that the vector bundle corresponding to a general parameter of this family is stable. Here we prove that the vector bundle corresponding to a general parameter is in fact very stable (it does not admit any nonzero nilpotent Higgs field).

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Indranil Biswas, Viktoria Heu, Jacques Hurtubise. 2017-03-21. Isomonodromic deformations and very stable vector bundles of rank two. https://doi.org/10.1007/s00220-017-2987-6

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