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Complex structures on S6
Abstract
A recent manuscript produced by Claude under the direction of Levent Alpöge constructs a 1-parameter family of compact complex threefolds diffeomorphic to S6. Our goal is to describe the geometric ideas behind the construction, give a self-contained proof, and remark on possible future research directions.
Related
BibTeX
@misc{engel2026complex,
title = {{Complex structures on $S^6$}},
author = {Philip Engel},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.38442},
eprint = {2609.38442},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.38442},
}
RIS
TY - UNPB
TI - Complex structures on S^6
AU - Philip Engel
PY - 2026
DA - 2026/09/29
PB - arXiv
DO - 10.48550/arxiv.2609.38442
UR - https://arxiv.org/abs/2609.38442
AB - A recent manuscript produced by Claude under the direction of Levent Alpöge constructs a 1-parameter family of compact complex threefolds diffeomorphic to S^6. Our goal is to describe the geometric ideas behind the construction, give a self-contained proof, and remark on possible future research directions.
ER -