Abstract
In this paper, we study the period mappings for the families of K3 surfaces derived from the three-dimensional reflexive polytopes with five vertices. We determine the lattice structures, the period differential equations and the projectivemonodromy groups.Moreover, we show that one of our period differential equations coincides with the uniformizing differential equation of the Hilbert modular orbifold for the field ℚ(√5).
Original language | English |
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Pages (from-to) | 193-244 |
Number of pages | 52 |
Journal | Kyushu Journal of Mathematics |
Volume | 66 |
Issue number | 1 |
DOIs | |
Publication status | Published - 2012 |
Keywords
- Hilbert modular orbifolds
- K3 surfaces
- Period differential equations
- Period maps
- Toric varieties
ASJC Scopus subject areas
- Mathematics(all)