Flavor structure of magnetized $T^2/\mathbb{Z}_2$ blow-up models

We discuss the flavor structure in resolution of magnetized T$^{2}$/ℤ$_{2}$ orbifold models. The flavor structure of Yukawa couplings among chiral zero-modes is sensitive to radii of the resolved fixed points of T$^{2}$/ℤ$_{2}$ orbifold. We show in concrete models that the realistic mass hierarchy and mixing angles of the quark sector can be realized at certain values of blow-up radii, where the number of parameters in the blow-up model can be smaller than toroidal orbifold one.