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SYZ conjecture for Calabi-Yau hypersurfaces in the Fermat family (1912.02360v1)

Published 5 Dec 2019 in math.DG and math.AG

Abstract: We produce special Lagrangian $Tn$-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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