Survey on the metric SYZ conjecture and non-archimedean geometry
Algebraic Geometry
2022-09-07 v1 Differential Geometry
Abstract
We survey the metric aspects of the Strominger-Yau-Zaslow conjecture on the existence of special Lagrangian fibrations on Calabi-Yau manifolds near the large complex structure limit. We will discuss the diverse motivations for the conjectural picture, what the best hopes are, and a number of subtleties. The bulk of the survey highlights the role of pluripotential theory, and non-archimedean geometry in particular, with a list of open questions.
Keywords
Cite
@article{arxiv.2204.11363,
title = {Survey on the metric SYZ conjecture and non-archimedean geometry},
author = {Yang Li},
journal= {arXiv preprint arXiv:2204.11363},
year = {2022}
}
Comments
48 pages. arXiv admin note: text overlap with arXiv:2007.01384