On surfaces with p_g=2, q=1 and K^2=5
  We consider minimal surfaces of general type with $p_g = 2$, $q = 1$ and $K^2 = 5$. We provide a stratification of the corresponding moduli space and we give some bounds for the number and the dimensions of its irreducible components. 
Tommaso Gentile, Paolo A. Oliverio, Francesco Polizzi
math.AG