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- W2043016622 abstract "In this paper, we study the period mappings for the families of $K3$ surfaces derived from the $3$-dimensional $5$-verticed reflexive polytopes. We determine the lattice structures, the period differential equations and the projective monodromy groups. Moreover, we show that one of our period differential equations coincides with the unifomizing differential equation of the Hilbert modular orbifold for the field $mathbb{Q}(sqrt{5})$." @default.
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- W2043016622 date "2012-01-01" @default.
- W2043016622 modified "2023-09-25" @default.
- W2043016622 title "PERIOD DIFFERENTIAL EQUATIONS FOR THE FAMILIES OF K3 SURFACES WITH TWO PARAMETERS DERIVED FROM THE REFLEXIVE POLYTOPES" @default.
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- W2043016622 doi "https://doi.org/10.2206/kyushujm.66.193" @default.
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