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Period differential equations for families of $K3$ surfaces derived from 3 dimensional reflexive polytopes with 5 vertices
K3 surfaces period differential equations toric varieties
2011/1/17
In this article we study the families of K3 surfaces derived from 3 dimensional 5 verticed re-
flexive polytopes with at most terminal singularity. We determine the lattice structures, the period dif...
Right-angled Coxeter polytopes, hyperbolic 6-manifolds, and a problem of Siegel
Hyperbolic manifold right-angled polytope Coxeter group
2010/12/8
By gluing together the sides of eight copies of an all-right angled hyperbolic 6-dimensional polytope, two orientable hyperbolic 6-manifolds with Euler characteristic −1 are constructed. They ar...