2024/06/07 by Ganatra, Sheel, Hanlon, Andrew, Hicks, Jeff +2 · 2 citations
#14J33 (Secondary) #53D37 (Primary) 11G42 #Algebraic Geometry (math.AG) #FOS: Mathematics #Symplectic Geometry (math.SG)
paper · doi:10.48550/arxiv.2406.05272
We prove Kontsevich's homological mirror symmetry conjecture for a large class of mirror pairs of Calabi--Yau hypersurfaces in toric varieties. These mirror pairs were constructed by Batyrev from dual reflexive polytopes. The theorem holds in characteristic zero and in all but finitely many positive characteristics.