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arXiv · 2301.12983

Metric SYZ conjecture for certain toric Fano hypersurfaces

Yang Li
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Abstract

We prove the metric version of the SYZ conjecture for a class of Calabi-Yau hypersurfaces inside toric Fano manifolds, by solving a variational problem whose minimizer may be interpreted as a global solution of the real Monge-Amp\`ere equation on certain polytopes. This does not rely on discrete symmetry.

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Yang Li. 2023-01-30. Metric SYZ conjecture for certain toric Fano hypersurfaces. https://arxiv.org/abs/2301.12983

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