Metric SYZ conjecture for certain toric Fano hypersurfaces

Published 30 Jan 2023 in math.DG, math.AG, and math.AP | (2301.12983v1)

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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Authors (1)

Yang Li

Citations (11)

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