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Homological mirror symmetry for Batyrev mirror pairs

Published 7 Jun 2024 in math.SG and math.AG | (2406.05272v2)

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.

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