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arXiv · 1912.02360

SYZ conjecture for Calabi-Yau hypersurfaces in the Fermat family

Yang Li
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Abstract

We produce special Lagrangian $T^n$-fibrations on the generic regions of some Calabi-Yau hypersurfaces in the Fermat family $X_s=\{ Z_0\ldots Z_{n+1}+ e^{-s} ( Z_0^{n+2}+ \ldots Z_{n+1}^{n+2} ) =0 \}\subset \mathbb{CP}^{n+1} $ near the large complex structure limit $s\to +\infty$.

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Yang Li. 2019-12-05. SYZ conjecture for Calabi-Yau hypersurfaces in the Fermat family. https://arxiv.org/abs/1912.02360

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