Lens spaces as dual complexes of Log Calabi-Yau pairs

We demonstrate the construction of singular log Calabi-Yau $4$-folds such that the dual complex of the boundary is homeomorphic to a Lens space from a log Calabi-Yau surface with action of a finite cyclic group. We explicitly obtain the Lens spaces $L(3,1)$, $L(5,1)$, and $L(5,2)$ in this way.

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Publication Details

Journal
Serdica Mathematical Journal
Published
2025-10-14
DOI
https://doi.org/10.55630/serdica.2025.51.39-46
Primary Topic
Advanced Algebra and Geometry
Type
article
Field-Weighted Citation Impact
0.00

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article

Lens spaces as dual complexes of Log Calabi-Yau pairs

Morgan V. Brown
Serdica Mathematical Journal
Advanced Algebra and Geometry
article

Lens spaces as dual complexes of Log Calabi-Yau pairs

Morgan V. Brown
article en

Abstract

We demonstrate the construction of singular log Calabi-Yau $4$-folds such that the dual complex of the boundary is homeomorphic to a Lens space from a log Calabi-Yau surface with action of a finite cyclic group. We explicitly obtain the Lens spaces $L(3,1)$, $L(5,1)$, and $L(5,2)$ in this way.

Serdica Mathematical JournalVol. 51(1)
University of Miami (US)
Bulgarian Academy of Sciences
Openalex Percentile: Top 64%
Advanced Algebra and Geometry
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Lens spaces as dual complexes of Log Calabi-Yau pairs — Morgan V. Brown · Serdica Mathematical Journal (2025) | TGRS Research Map | TGRS