Isomonodromic deformations and very stable vector bundles of rank two
Algebraic Geometry
2017-09-13 v1
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).
Keywords
Cite
@article{arxiv.1703.07203,
title = {Isomonodromic deformations and very stable vector bundles of rank two},
author = {Indranil Biswas and Viktoria Heu and Jacques Hurtubise},
journal= {arXiv preprint arXiv:1703.07203},
year = {2017}
}