English

Fibrations of highly singular map germs

Algebraic Geometry 2020-01-06 v8 Complex Variables

Abstract

We define local fibration structures for real map germs with strictly positive dimensional discriminant: a local fibration structure over the complement of the discriminant, and a complete local fibration structure which includes the stratified discriminant into the picture. We provide new classes of map germs endowed with such local fibration structures.

Keywords

Cite

@article{arxiv.1711.07544,
  title  = {Fibrations of highly singular map germs},
  author = {Maico F. Ribeiro and Raimundo N. Araújo dos Santos and Mihai Tibăr},
  journal= {arXiv preprint arXiv:1711.07544},
  year   = {2020}
}

Comments

17 pages. Small changes: last part of the proof or Theorem 2.7 and the preliminary part of the proof of Theorem 4.3; updated references

R2 v1 2026-06-22T22:52:02.219Z