Sequence of families of lattice polarized $K3$ surfaces, modular forms and degrees of complex reflection groups

Reflection and Coxeter groups (group-theoretic aspects) (20F55) (K3) surfaces and Enriques surfaces (14J28) Relations with arrangements of hyperplanes (32S22) Holomorphic modular forms of integral weight (11F11)

Cites Work

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To the Hilbert class field from the hypergeometric modular function
A theta expression of the Hilbert modular functions for $\sqrt{5}$ via the periods of $K3$ surfaces
Lattice polarized $K3$ surfaces and Siegel modular forms
Abelianisation of orthogonal groups and the fundamental group of modular varieties
Hilbertsche Modulformen und Modulfunktionen zu ${\mathbb{Q}}(\sqrt{5})$ (Hilbert modular forms and modular functions for ${\mathbb{Q}}(\sqrt{5})$)
Simple singularities and simple algebraic groups
Compactifications defined by arrangements. I: The ball quotient case.
Compactifications defined by arrangements. II: Locally symmetric varieties of type IV
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Vorlesungen über das Ikosaeder und die Auflösung der Gleichungen vom fünften Grade.
Graded rings of Hermitian modular forms of degree 2
Mirror symmetry for lattice polarized $K3$ surfaces
On K3 surfaces with large Picard number
Inverse period mappings of $K3$ surfaces and a construction of modular forms for a lattice with the Kneser conditions
Six line configurations and string dualities
Icosahedral invariants and Shimura curves
INTEGRAL SYMMETRIC BILINEAR FORMS AND SOME OF THEIR APPLICATIONS
THE MONODROMY OF THE PERIOD MAP OF A 4-PARAMETER FAMILY OF K3 SURFACES AND THE HYPERGEOMETRIC FUNCTION OF TYPE (3, 6)
On Siegel modular forms. Part I.
ON KUMMER SURFACES
Hypergeometric Functions, My Love
On $K3$ surfaces which dominate Kummer surfaces
The ring of modular forms for the even unimodular lattice of signature (2,10)
The Algebraic Potentials Having Tri-Hamiltonian Structures of the Reflection Groups of Types D₄, F₄, H₄
Finite Unitary Reflection Groups
On Kummer‐like surfaces attached to singularity and modular forms
Geometric interpretation of Hermitian modular forms via Burkhardt invariants

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Sequence of families of lattice polarized \(K3\) surfaces, modular forms and degrees of complex reflection groups