On hypergeometric duality conjecture

DOI10.1016/j.aim.2024.109582arXiv2301.01374MaRDI QIDQ6124584

Zengrui Han, Lev A. Borisov

Publication date: 28 March 2024

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2301.01374

zbMATH Keywords

mirror symmetryhypergeometric functions\(K\)-theorytoric Deligne-Mumford stacks

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Mirror symmetry (algebro-geometric aspects) (14J33)

Cites Work

• On the better behaved version of the GKZ hypergeometric system
• Applications of homological mirror symmetry to hypergeometric systems: duality conjectures
• Mellin--Barnes integrals as Fourier--Mukai transforms
• Fukaya categories and Picard-Lefschetz theory
• Generalized Euler integrals and \(A\)-hypergeometric functions
• On duality of certain GKZ hypergeometric systems
• Intersection theory on toric varieties
• Homological methods for hypergeometric families

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