A complex surface of general type with \(p_g=0\), \(K^2=2\) and \(H_1=\mathbb{Z}/2\mathbb{Z}\) (Q843047)

In [Invent. Math. 170, No. 3, 483--505 (2007; Zbl 1126.14049)], the authors constructed a simply connected minimal surface of general type with \(p_g=0\) and \(K^2=2\) using smoothing of a singular rational surface (see the enlightening Rita Pardini's review). In this paper the same method is used to obtain a minimal surface of general type with \(p_g=0\), \(K^2=2\) and \(H_1=\mathbb Z/2\mathbb Z\). An example with \(H_1=\mathbb Z/3\mathbb Z\) is also given.