论文标题

Syz镜面对称性的最新进展,用于某些非紧凑型calabi-yau表面

Recent progress on SYZ mirror symmetry for some non-compact Calabi-Yau surfaces

论文作者

Collins, Tristan C., Lin, Yu-Shen

论文摘要

我们调查了作者最近的作品,与A. Jacob的联合作品,在Strominger-yau-Zaslow镜子对称性上,用于理性椭圆表面和Del Pezzo表面。 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.

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.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源