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arXiv · 2503.11992

The degeneration of Calabi-Yau 3-folds via 3-forms and the SYZ conjecture

Teng Fei
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Abstract

In this paper, we investigate the geometries associated with 3-forms of various orbital types on a symplectic 6-manifold. We demonstrate that certain unstable 3-forms, which naturally emerge from specific degenerations of Calabi-Yau structures, exhibit remarkably rich geometric properties. This, in turn, offers a novel perspective on the SYZ conjecture.

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Teng Fei. 2025-03-15. The degeneration of Calabi-Yau 3-folds via 3-forms and the SYZ conjecture. https://arxiv.org/abs/2503.11992

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