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September 2022 Strominger–Yau–Zaslow conjecture for Calabi–Yau hypersurfaces in the Fermat family
Yang Li
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Acta Math. 229(1): 1-53 (September 2022). DOI: 10.4310/ACTA.2022.v229.n1.a1

Abstract

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

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Yang Li. "Strominger–Yau–Zaslow conjecture for Calabi–Yau hypersurfaces in the Fermat family." Acta Math. 229 (1) 1 - 53, September 2022. https://doi.org/10.4310/ACTA.2022.v229.n1.a1

Information

Received: 15 January 2020; Accepted: 23 May 2021; Published: September 2022
First available in Project Euclid: 17 July 2024

Digital Object Identifier: 10.4310/ACTA.2022.v229.n1.a1

Rights: Copyright © 2022 Institut Mittag-Leffler

Vol.229 • No. 1 • September 2022
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