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PreprintCC BY 4.0arXiv

A Lê number addendum to the Morse Splitting Lemma

  • David B. Massey
Open at sourcePDFDOICite

Abstract

We investigate how the complex analytic Morse Splitting Lemma relates to the generic Lê numbers of a function, and what the relation tells us about the function. As special cases, we consider functions for which the 0-dimensional generic Lê number is at most 3 and functions for which the critical locus has dimension 1.

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Cite

BibTeXRIS
BibTeX
@misc{massey2026number,
  title = {{A Lê number addendum to the Morse Splitting Lemma}},
  author = {David B. Massey},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2608.21980},
  eprint = {2608.21980},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.21980},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - A Lê number addendum to the Morse Splitting Lemma
AU  - David B. Massey
PY  - 2026
DA  - 2026/10/18
PB  - arXiv
DO  - 10.48550/arxiv.2608.21980
UR  - https://arxiv.org/abs/2608.21980
AB  - We investigate how the complex analytic Morse Splitting Lemma relates to the generic Lê numbers of a function, and what the relation tells us about the function. As special cases, we consider functions for which the 0-dimensional generic Lê number is at most 3 and functions for which the critical locus has dimension 1.
ER  -