Resonant Hypergeometric Systems and Mirror Symmetry

zbMath0963.14017arXivalg-geom/9711002MaRDI QIDQ2707325

Jan Stienstra

Publication date: 1 April 2001

Full work available at URL: https://arxiv.org/abs/alg-geom/9711002

zbMATH Keywords

toric varietyCalabi-Yau manifold\({\mathcal D}\)-modulehypergeometric differential equationstoric mirror symmetry

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Other hypergeometric functions and integrals in several variables (33C70) Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05)

Related Items

Weight filtrations on GKZ-systems ⋮ Feynman integrals and mirror symmetry ⋮ Local Cohomology—An Invitation ⋮ Mellin--Barnes integrals as Fourier--Mukai transforms ⋮ \(h\)-vectors of Gorenstein polytopes ⋮ Quantum cohomology and periods ⋮ Computing differential equations for integrals associated to smooth Fano polytope ⋮ Mahler measure for a quiver symphony ⋮ On the better behaved version of the GKZ hypergeometric system ⋮ Open Gromov-Witten theory of \(K_{\mathbb {P}^2}\), \(K_{\mathbb {P}^1\times \mathbb {P}^1}\), \(K_{W\mathbb {P}[ 1,1,2}\), \(K_{\mathbb{F}_1}\) and Jacobi forms] ⋮ Enumerative meaning of mirror maps for toric Calabi-Yau manifolds ⋮ Gauß–Manin systems of families of Laurent polynomials and A-hypergeometric systems ⋮ Applications of homological mirror symmetry to hypergeometric systems: duality conjectures ⋮ The \({\mathcal A}\)-hypergeometric system associated with a monomial curve ⋮ Gromov-Witten invariants of local \(\mathbb{P}^2\) and modular forms ⋮ Ehrhart series and lattice triangulations ⋮ Period integrals associated to an affine Delsarte type hypersurface ⋮ Algebraic aspects of hypergeometric differential equations ⋮ Composition series for GKZ-systems

This page was built for publication: Resonant Hypergeometric Systems and Mirror Symmetry