a sufficiently positive torus invariant Weil divisor, multiple mirror partners can, in principle, be assigned by a changing of framing in the same linear equivalence class (see §\[ssez:MWeb\]). This means that, one should think of mirror duality more in terms of a connection between nodes in a web (the Mirror Web) rather than a phenomenon connecting pairs of mirror partners, that is, a symmetry, as done for [Calabi-Yau ]{}varieties. Notice that the multiple mirror phenomenon is a well known one, also for [Calabi-Yau ]{}varieties, after e.g. the R[ø]{}dland example [@Rodland] (see Remark \[rem:mult.mirr\] and references therein).

Finally, following the lines given by Batyrev for [Calabi-Yau ]{}varieties in [@Batyrev02], a conjectural approach, to extending $f$-mirror symmetry beyond a toric embedding, is sketched in §\[ssez:Tdegenarazione\], by means of toric degeneration and geometric transitions.

As Batyrev-Borisov duality, $f$-duality is just a construction to propose candidate mirror partners. After that, one has to prove they are effectively mirror partners, by checking various instances of mirror symmetry. Beyond the [Calabi-Yau ]{}setup, understanding which are those mirror symmetric instances is a bit more involved (see §\[ssez:mirrortest\]). Probably, the deepest way of checking mirror symmetry is the one proposed by Kontsevich’s HMS. But this seems to be 