Homological mirror symmetry for Batyrev mirror pairs
Abstract
We prove Kontsevich's homological mirror symmetry conjecture for a large class of mirror pairs of CalabiYau 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.
 Publication:

arXiv eprints
 Pub Date:
 June 2024
 DOI:
 10.48550/arXiv.2406.05272
 arXiv:
 arXiv:2406.05272
 Bibcode:
 2024arXiv240605272G
 Keywords:

 Mathematics  Symplectic Geometry;
 Mathematics  Algebraic Geometry;
 53D37 (Primary) 11G42;
 14J33 (Secondary)
 EPrint:
 86 pages