BCOV cusp forms of lattice polarized K3 surfaces

DOI10.1016/j.aim.2023.109328arXiv2303.04383OpenAlexW4387363479MaRDI QIDQ6087077

Shinobu Hosono, Atsushi Kanazawa

Publication date: 14 November 2023

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

Full work available at URL: https://arxiv.org/abs/2303.04383

zbMATH Keywords

mirror symmetryJacobi formsautomorphic formsmodular formsK3 surfacesBCOV holomorphic anomaly

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41) Mirror symmetry (algebro-geometric aspects) (14J33)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Lattice polarized \(K3\) surfaces and Siegel modular forms
• Holomorphic anomalies in topological field theories
• Special geometry
• A pair of Calabi-Yau manifolds as an exactly soluble superconformal theory.
• Determinants of Cauchy-Riemann operators on a Riemann surface
• The logarithm of the Dedekind \(\eta\)-function
• Ising model and \(N=2\) supersymmetric theories
• Kodaira-Spencer theory of gravity and exact results for quantum string amplitudes
• On the Hodge structure of projective hypersurfaces in toric varieties
• Mirror symmetry, mirror map and applications to Calabi-Yau hypersurfaces
• Enriques surfaces, analytic discriminants, and Borcherds's \(\Phi\) function
• \(c=2\) rational toroidal conformal field theories via the Gauss product
• K3 surfaces via almost-primes.
• Mirror symmetry for lattice polarized \(K3\) surfaces
• On K3 surfaces with large Picard number
• Automorphic forms on \(O_{s+2,2}(\mathbb R)\) and infinite products
• \(K3\) surfaces with involution, equivariant analytic torsion, and automorphic forms on the moduli space
• Arithmetic properties of mirror map and quantum coupling
• \(K3\) surfaces from configurations of six lines in \(\mathbb{P}^2\) and mirror symmetry. I
• GKZ-generalized hypergeometric systems in mirror symmetry of Calabi-Yau hypersurfaces
• Analytic torsion for complex manifolds
• Hypergeometric functions and toric varieties
• Note on a Geometric Isogeny of K3 Surfaces
• Monstrous Moonshine
• AUTOMORPHIC FORMS AND LORENTZIAN KAC–MOODY ALGEBRAS PART I
• Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties
• Maximal degeneracy points of GKZ systems
• On Calabi-Yau Complete Intersections in Toric Varieties
• Minimal Siegel modular threefolds
• Autoequivalences of derived category of a K3 surface and monodromy transformations
• Homological Algebra of Mirror Symmetry
• On Siegel Modular Forms of Genus Two
• Local mirror symmetry and type IIA monodromy of Calabi-Yau manifolds