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PreprintarXiv licencearXiv

Smoothing of singular intersections of ellipsoids: pyramitoid

Abstract

The goal of this work is to continue the study the smoothings of 3-dimensional manifolds with singularities obtained as small covers of non simple right-angle Coxeter polyhedral orbifolds. They appear in the study of coaxial intersections of ellipsoids. In particular we introduce the concept of n-pyramitoid generalizing the n-pyramid.

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BibTeX
@misc{bartolo2026smoothing,
  title = {{Smoothing of singular intersections of ellipsoids: pyramitoid}},
  author = {Enrique Artal Bartolo and Santiago López de Medrano and María Teresa Lozano Imízcoz},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2605.00263},
  eprint = {2605.00263},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2605.00263},
}
RIS
TY  - UNPB
TI  - Smoothing of singular intersections of ellipsoids: pyramitoid
AU  - Enrique Artal Bartolo
AU  - Santiago López de Medrano
AU  - María Teresa Lozano Imízcoz
PY  - 2026
DA  - 2026/09/11
PB  - arXiv
DO  - 10.48550/arxiv.2605.00263
UR  - https://arxiv.org/abs/2605.00263
AB  - The goal of this work is to continue the study the smoothings of 3-dimensional manifolds with singularities obtained as small covers of non simple right-angle Coxeter polyhedral orbifolds. They appear in the study of coaxial intersections of ellipsoids. In particular we introduce the concept of n-pyramitoid generalizing the n-pyramid.
ER  -