We describe recent progress in a program to understand the classification of three-dimensional Fano varieties with Q-factorial terminal singularities using mirror symmetry. As part of this we give an improved and more conceptual understanding of Laurent inversion, a technique that sometimes allows one to construct a Fano variety X directly from a Laurent polynomial f that corresponds to it under mirror symmetry.

We define naive atomic decompositions of smooth projective varieties. We show that they satisfy a naive version of Iritani's blowup formula in several examples that are complicated enough to show…

In this Schiff base derived from tert-butyl­amine and para-nitro­benzaldehyde, C—H⋯O contacts connect the mol­ecules into chains along the b-axis direction.