Complex structures on $S^6$

Philip Engel

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arXiv · 2609.38442

Complex structures on $S^6$

Philip Engel

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Abstract

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.

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BibTeX RIS

Philip Engel. 2026-09-29. Complex structures on $S^6$. https://arxiv.org/abs/2609.38442

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