2011/03/14 by Janko Boehm, Boehm, Janko · 2 citations
Computer Science · Mathematics · #14J33 (Primary) 14J32 #14T05 (Secondary) #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation #math.AG #msc:14J32 #msc:14J33 #msc:14T05
paper · pdf · doi:10.48550/arxiv.1103.2673
15 pages, no figures
arxiv created 2011/03/14 · openalex publication_date 2011/03/14 · arxiv updated 2011/03/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.