Applications of homological mirror symmetry to hypergeometric systems: duality conjectures
Lev A. Borisov, R. Paul Horja
TL;DR
This paper explores how homological mirror symmetry relates to hypergeometric PDE systems, proposing duality conjectures for crepant resolutions of Gorenstein toric singularities and verifying some cases.
Contribution
It introduces duality conjectures connecting homological mirror symmetry with hypergeometric systems and provides partial verifications of these conjectures.
Findings
Conjectures relate homological mirror symmetry to hypergeometric PDEs.
Partial verification of duality conjectures in specific cases.
Establishes a link between geometric resolutions and hypergeometric systems.
Abstract
Homological mirror symmetry for crepant resolutions of Gorenstein toric singularities leads to a pair of conjectures on certain hypergeometric systems of PDEs. We explain these conjectures and verify them in some cases.
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