Bicanonical Map

We prove that if the bicanonical map of a minimal surface of general type S with pg = q = 1 and K 2 S = 8 is non birational, then it is a double cover onto a rational surface. An application of this theorem is the complete classification of minimal surfaces of general type with pg = q = 1, K 2 S = 8 and nonbirational bicanonical map. Let S be a smooth… CONTINUE READING