Study on the family of K3 surfaces induced from the lattice $(D_4)^3 \oplus < -2 > \oplus < 2 >

K Koike, H Shiga, N Takayama +1

Let us consider the rank 14 lattice $P=D_4^3\oplus <-2>\oplus <2>$. We define a K3 surface S of type P with the property that $P\subset \mathrm{Pic}(S)$, where $\mathrm{Pic}(S)$ ind…