Deformations
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The first step in our construction is to go away from the Fermat point . More precisely, we shall be interested in the LG model with superpotential $$\eqlabel{deform}
W = \sum_{i=1}^9 x_i^3 + a_1 x_1x_2x_3 + a_2x_4x_5x_6+a_3 x_7x_8x_9
+ \cdots$$ We intend to make $a_1$, $a_2$, $a_3$ large, and the dots are all other possible cubic monomials which however we will assume to be small compared with the $a_i$. The point of the deformation is that in the limit of large $a_i$, the LG-model is precisely mirror to the rigid $T^6$ orbifold . This is clear from the standard LG description of the moduli space of $T^2$. The remaining deformations of $W$ correspond to blowup moduli from the $T^6$ perspective. By going to this region of moduli space, we are able to focus on the stabilization of the three “bulk moduli” $a_1$, $a_2$, $a_3$. (All other $T^6$ moduli are projected out by the orbifold.) Thus we reduce our computation to one in the neighborhood of three copies of the large complex structure limit of $T^2$. The twisted sector moduli can then in principle be stabilized by turning on fluxes through the blowup cycles. This can be justified in 