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Some examples of family Floer mirror

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Some examples of family Floer mirror Lin, Yu-Shen; Cheung, Man-Wai In this article, we give explicit calculations for the family Floer mirrors of some non-compact Calabi-Yau surfaces. We compare it with the mirror construction of Gross-Hacking-Keel for suitably chosen log Calabi-Yau pairs and the rank two cluster varieties of finite type. In particular, the analytification of the later two gives a partial compactification of the family Floer mirror that we computed.

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