A framework for tropical mirror symmetry

Understand

Applying tropical geometry a framework for mirror symmetry, including a mirror construction for Calabi-Yau varieties, was proposed by the author.

• We discuss the conceptual foundations of this construction based on a natural mirror map identifying deformations and divisors.
• We show how the construction specializes to that by Batyrev for hypersurfaces and its generalization by Batyrev and Borisov to complete intersections.
• Based on an explicit example we comment on the implementation in the Macaulay2 package SRdeformations.