String cohomology of Calabi-Yau hypersurfaces via mirror symmetry. Appendix: \(G\)-polynomials

DOI10.1016/S0001-8708(03)00007-0zbMath1055.14044arXivmath/0109096OpenAlexW2031551812MaRDI QIDQ1418007

Anvar R. Mavlyutov, Lev A. Borisov

Publication date: 6 January 2004

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

Full work available at URL: https://arxiv.org/abs/math/0109096

zbMATH Keywords

toric varietiesintersection cohomologyorbifold Dolbeault cohomology

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Calabi-Yau theory (complex-analytic aspects) (32Q25) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) (14F43)

Related Items

Tropical geometry, the motivic nearby fiber, and limit mixed Hodge numbers of hypersurfaces, Families of Calabi-Yau hypersurfaces in \(\mathbb Q\)-Fano toric varieties, Berglund-Hübsch mirror symmetry via vertex algebras, Mellin--Barnes integrals as Fourier--Mukai transforms, Quantum cohomology and periods, On the better behaved version of the GKZ hypergeometric system, Local \(h\)-polynomials, invariants of subdivisions, and mixed Ehrhart theory, Gorenstein polytopes and their stringy \(E\)-functions, On the monodromies and the limit mixed Hodge structures of families of algebraic varieties, New Calabi-Yau orbifolds with mirror Hodge diamonds, Stringy zeta functions for \(\mathbb Q\)-Gorenstein varieties, On stringy cohomology spaces, Stringy Hodge numbers of strictly canonical nondegenerate singularities, Formulas for monodromy, Chiral rings of vertex algebras of mirror symmetry, On smooth Gorenstein polytopes, On the hyperplane conjecture for periods of Calabi-Yau hypersurfaces in \(\mathbf{P}^n\), On the hard Lefschetz property of stringy Hodge numbers, Stringy E-functions of hypersurfaces and of Brieskorn singularities, GARCH in spinor field, Tropical geometry and the motivic nearby fiber

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