PreprintCC BY 4.0arXiv
Hyperbolic complex tangencies on a four-sphere
Abstract
We construct a smooth embedding of S4 into ℂ4 whose CR-singular locus is a connected surface of genus two consisting entirely of nondegenerate hyperbolic points. Its image is locally polynomially convex and admits a basis of smoothly bounded, strongly pseudoconvex Stein tubular neighbourhoods.
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BibTeX
@misc{slapar2026hyperbolic,
title = {{Hyperbolic complex tangencies on a four-sphere}},
author = {Marko Slapar and Sašo Strle},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.34219},
eprint = {2610.34219},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.34219},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Hyperbolic complex tangencies on a four-sphere
AU - Marko Slapar
AU - Sašo Strle
PY - 2026
DA - 2026/10/25
PB - arXiv
DO - 10.48550/arxiv.2610.34219
UR - https://arxiv.org/abs/2610.34219
AB - We construct a smooth embedding of S^4 into ℂ^4 whose CR-singular locus is a connected surface of genus two consisting entirely of nondegenerate hyperbolic points. Its image is locally polynomially convex and admits a basis of smoothly bounded, strongly pseudoconvex Stein tubular neighbourhoods.
ER -