2022/08/30 by Tristan C. Collins, Collins, Tristan C., Yu-Shen Lin +1 · 1 citation
Mathematics · Physics and Astronomy · #Geometry and complex manifolds #Black Holes and Theoretical Physics #Geometric Analysis and Curvature Flows
paper · doi:10.48550/arxiv.2208.14485
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 ALH^* gravitational instantons and explain how our results can be used to prove that all ALH^* gravitational instantons can be compactified to a weak del Pezzo surface, recovering a recent result of Hein-Sun-Viaclovsky-Zhang.