On the complex affine structures of SYZ fibration of Del Pezzo surfaces
Lau, Siu; Lee, Tsung-Ju; Lin, Yu-Shen
Given any smooth cubic curve E ⊆ P^2, we show that the complex affine
structure of the special Lagrangian fibration of P^2 ⧵ E constructed by Collins-Jacob-Lin [12]
coincides with the affine structure used in Carl-Pomperla-Siebert [15] for constructing mirror.
Moreover, we use the Floer-theoretical gluing method to construct a mirror using immersed
Lagrangians, which is shown to agree with the mirror constructed by Carl-Pomperla-Siebert.
↧