A New Family of Surfaces with K^2=7 and p_g=0
arXiv:1210.4633
Abstract
We construct a new family of minimal smooth surfaces of general type with K^2=7 and p_g= 0. We show that for a surface in this family, its canonical divisor is ample and its bicanonical morphism is birational. We prove that these surfaces satisfy Bloch's conjecture.
18 pages, more comments on related topics in the last two sections, Bloch's conjecture