Metric SYZ conjecture for certain toric Fano hypersurfaces
Differential Geometry
2023-01-31 v1 Algebraic Geometry
Analysis of PDEs
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.
Keywords
Cite
@article{arxiv.2301.12983,
title = {Metric SYZ conjecture for certain toric Fano hypersurfaces},
author = {Yang Li},
journal= {arXiv preprint arXiv:2301.12983},
year = {2023}
}
Comments
22 pages