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We show that projective K3 surfaces with odd Picard rank contain infinitely many rational curves. Our proof extends the Bogomolov-Hassett-Tschinkel approach, i.e., uses moduli spaces of stable maps an...
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...