Monodromy of Picard-Fuchs system for a family of K3 toric hypersurfaces and fixed points of the Hilbert modular group for \(\mathbb{Q}(\sqrt{2})\)

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) (K3) surfaces and Enriques surfaces (14J28) Moduli, classification: analytic theory; relations with modular forms (14J15) Monodromy; relations with differential equations and (D)-modules (complex-analytic aspects) (32S40)

Cites Work

A theta expression of the Hilbert modular functions for \(\sqrt{5}\) via the periods of \(K3\) surfaces
Polygons and Hilbert modular groups
Duality of weights, mirror symmetry and Arnold's strange duality
Linear differential equations in two variables of rank four. I
Linear differential equations in two variables of rank four. II. The uniformizing equation of a Hilbert modular orbifold
Generalized Euler integrals and \(A\)-hypergeometric functions
Uniformizing differential equations of several Hilbert modular orbifolds
Classification of reflexive polyhedra in three dimensions
Lattice duality for families of \(K\)3 surfaces associated to transpose duality
Mirror symmetry for lattice polarized \(K3\) surfaces
Hilbertsche Modulformen und Modulfunktionen zu \(Q(\sqrt{8})\)
Die Fixpunkte einiger Hilbertscher Modulgruppen
Mirror symmetry of the \(K3\) surface.
The mirror map for a family of \(K3\) surfaces induced from the simplest 3-dimensional reflexive polytope.
INTEGRAL SYMMETRIC BILINEAR FORMS AND SOME OF THEIR APPLICATIONS
Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties
A computational approach to Hilbert modular group fixed points
PERIOD DIFFERENTIAL EQUATIONS FOR THE FAMILIES OF K3 SURFACES WITH TWO PARAMETERS DERIVED FROM THE REFLEXIVE POLYTOPES
Toric varieties
Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)

This page was built for publication: Monodromy of Picard-Fuchs system for a family of K3 toric hypersurfaces and fixed points of the Hilbert modular group for \(\mathbb{Q}(\sqrt{2})\)

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6661090)