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PreprintCC BY 4.0arXiv

Local dynamics of tangent to the identity biholomorphisms in dimension two

  • Lorena López-Hernanz
Open at sourcePDFDOICite

Abstract

This survey provides an overview of the existence of stable manifolds for tangent to the identity biholomorphisms in (ℂ2,0) and its connection with the existence of invariant curves for formal vector fields.

Versions

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Cite

BibTeXRIS
BibTeX
@misc{lopezhernanz2026local,
  title = {{Local dynamics of tangent to the identity biholomorphisms in dimension two}},
  author = {Lorena López-Hernanz},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.01520},
  eprint = {2610.01520},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.01520},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Local dynamics of tangent to the identity biholomorphisms in dimension two
AU  - Lorena López-Hernanz
PY  - 2026
DA  - 2026/10/01
PB  - arXiv
DO  - 10.48550/arxiv.2610.01520
UR  - https://arxiv.org/abs/2610.01520
AB  - This survey provides an overview of the existence of stable manifolds for tangent to the identity biholomorphisms in (ℂ^2,0) and its connection with the existence of invariant curves for formal vector fields.
ER  -