Cluster algebras, introduced by Fomin and Zelevinsky in 2002, are commutative algebras with generators called cluster variables. Cluster variables have an invariant called denominator vectors. In a categorification of cluster algebras, each cluster variable corresponds with a module over a Jacobian algebra. Buan, Marsh and Reiten (2009) studied when the denominator vector of each cluster variable in an acyclic cluster algebra coincides with the dimension vector of the corresponding module. In this talk, we give analogues of their results for cluster algebras defined from triangulated surfaces. For that, we mainly use two kinds of intersection numbers of tagged arcs because they induce the desired vectors. I’ll talk in English though it is poor at even English. Thank you for your understanding in advance.