Tropical Geometry And Mirror Symmetry

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Theta functions on varieties with effective anti-canonical class (2016, methodology): “to vi. Note that we do not bother to subdivide the ρi (hence abandoning the notation ρ i ) as the aﬃne structure does not have any singularities. By applying the Kontsevich-Soibelman lemma (see e.g., [Gr3], Theorem 6.38 for the simplest statement that incorporates the case needed here) we obtain a s”
Mirror symmetry for log Calabi-Yau surfaces I (2011, methodology): “) = θγ,D¯ I (LiftQ(q)) as elements of k[P]/I. Proof. This is shown in [CPS] in a rather more general setup. For a version of the argument closer to the current setup, see the proof of Theorem 5.35 of [G11]. Proof of Theorem 3.8. By Lemmas 3.15 and 3.19, we can assume we are in the situation of Assum”
Canonical bases for cluster algebras (2014, methodology): “In particular, we will follow the notation of [G11], §6.”