Resolution of singularities of real-analytic vector fields in dimension three

Daniel Panazzolo Instituto de Matemática e Estatística, Universidade de São Paulo

TBD mathscidoc:1701.331978

Acta Mathematica, 197, (2), 167-289, 2005.8
Let$χ$be an analytic vector field defined in a real-analytic manifold of dimension three. We prove that all the singularities of$χ$can be made elementary by a finite number of blowing-ups in the ambient space.
resolution of singularities; vector fields; singularities
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@inproceedings{daniel2005resolution,
  title={Resolution of singularities of real-analytic vector fields in dimension three},
  author={Daniel Panazzolo},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203349940310687},
  booktitle={Acta Mathematica},
  volume={197},
  number={2},
  pages={167-289},
  year={2005},
}
Daniel Panazzolo. Resolution of singularities of real-analytic vector fields in dimension three. 2005. Vol. 197. In Acta Mathematica. pp.167-289. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203349940310687.
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