On surfaces with pg=2, q=1 and K2=5

We consider minimal surfaces of general type with pg=2, q=1 and K2=5. We provide a stratification of the corresponding moduli space \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\mathcal{M}$\end{document} and we give some bounds for the number and the dimensions of its irreducible components.