Counting of Holomorphic Orbi-spheres in ${\mathbb{P}}_{2,2,2,2}^1$ and Determinant Equation

Hansol Hong, Hyung-Seok Shin

We count the number of holomorphic orbi-spheres in the ${\mathbb{Z}}_2$-quotient of an elliptic curve. We first prove that there is an explicit correspondence between the holomorphic…