  As announced "Intrinsic mirror symmetry and punctured invariants" in 2016, we
construct and prove consistency of the canonical wall structure. This
construction starts with a log Calabi-Yau pair (X,D) and produces a wall
structure, as defined by Gross-Hacking-Siebert. Roughly put, the canonical wall
structure is a data structure which encodes an algebro-geometric analogue of
counts of Maslov index zero disks. These enumerative invariants are defined in
terms of the punctured invariants of Abramovich-Chen-Gross-Siebert. There are
then two main theorems of the paper. First, we prove consistency of the
canonical wall structure, so that the canonical wall structure gives rise to a
mirror family. Second, we prove that this mirror family coincides with the
intrinsic mirror constructed in our paper "Intrinsic mirror symmetry". While
the setup of this paper is narrower than that of the latter paper, it gives a
more detailed description of the mirror.
