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math.DG2022
Recent progress on SYZ mirror symmetry for some non-compact Calabi-Yau surfaces
Tristan C. Collins, Yu-Shen Lin
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 application…
math.DG2022
Period domains for gravitational instantons
Tsung-Ju Lee, Yu-Shen Lin
Based on the uniformization theorems of gravitation instantons by Chen--Chen arXiv:1505.01790, Chen--Viaclovsky arXiv:2110.06498, Collins--Jacob--Lin arXiv:2111.09260, and Hein--Su…
math.AG2022★ 1 cited
SYZ mirror symmetry for del Pezzo surfaces and affine structures
Siu-Cheong Lau, Tsung-Ju Lee, Yu-Shen Lin
We prove that the Landau--Ginzburg superpotential of del Pezzo surfaces can be realized as a limit of their hyperKähler rotation toward the large complex structure limit point. As…