Enhancements in F-theory models on moduli spaces of K3 surfaces with $ADE$ rank 17

Yusuke Kimura, Shun'ya Mizoguchi

We study the moduli of elliptic K3 surfaces with a section with the $ADE$ rank 17. While the Picard number of a generic K3 surface in such moduli space is 19, the Picard number is…