Homological mirror symmetry for Batyrev mirror pairs
Symplectic Geometry
2024-11-19 v2 Algebraic Geometry
Abstract
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.
Cite
@article{arxiv.2406.05272,
title = {Homological mirror symmetry for Batyrev mirror pairs},
author = {Sheel Ganatra and Andrew Hanlon and Jeff Hicks and Daniel Pomerleano and Nick Sheridan},
journal= {arXiv preprint arXiv:2406.05272},
year = {2024}
}
Comments
v2: minor changes