Recent progress on SYZ mirror symmetry for some non-compact Calabi-Yau surfaces
Differential Geometry
2022-09-01 v1 Algebraic Geometry
Abstract
We survey the authors recent works, joint with A. Jacob, on Strominger-Yau-Zaslow mirror symmetry for rational elliptic surfaces and del Pezzo surfaces. We discuss some applications, including the Torelli theorem for gravitational instantons and explain how our results can be used to prove that all gravitational instantons can be compactified to a weak del Pezzo surface, recovering a recent result of Hein-Sun-Viaclovsky-Zhang.
Keywords
Cite
@article{arxiv.2208.14485,
title = {Recent progress on SYZ mirror symmetry for some non-compact Calabi-Yau surfaces},
author = {Tristan C. Collins and Yu-Shen Lin},
journal= {arXiv preprint arXiv:2208.14485},
year = {2022}
}
Comments
survey article; 29 pages