2011/03/14 by Cristina Martínez Ramirez, Cristina Martínez Ramírez, Ramírez, Cristina Martínez
Mathematics · #14D05 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #Geometry and complex manifolds #Symplectic Geometry (math.SG) #math.AG #math.SG #msc:14D05
paper · pdf · doi:10.48550/arxiv.1103.2611
C. R. Acad. Sci. Paris. Ser. I (2012), to appear
openalex publication_date 2011/03/14 · arxiv created 2012/08/01 · arxiv updated 2012/08/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
SYZ mirror conjecture predicts that a Calabi-Yau manifold X consists of a family of tori which are dual to a family of special lagrangian tori on the mirror dual manifold X. Here we consider a fibration of polarized abelian varieties and we construct a dual one. Moreover we prove that they are equivalent at the level of derived categories.