Smooth minimal surfaces of general type with pg=0, K2=7 and involutions

Source abstract

Lee and the second named author studied involutions on smooth minimal surfaces S of general type with [Formula: see text] and [Formula: see text]. They gave the possibilities of the birational models W of the quotients and the branch divisors [Formula: see text] induced by involutions [Formula: see text] on the surfaces S. In this paper, we improve and refine the results of Lee and the second named author. We exclude the case of the Kodaira dimension [Formula: see text] when the number k of isolated fixed points of an involution [Formula: see text] on S is nine. The possibilities of branch divisors [Formula: see text] are reduced for the case [Formula: see text], and are newly given for the case [Formula: see text]. Moreover, we show that if the branch divisor [Formula: see text] has three irreducible components, then S is an Inoue surface.