Abstract
This chapter presents the examples of algebraic surfaces with q = 0 and pg ≤ 1, which are locally hypersurfaces. It discusses a canonical way of the compactification M of Ma through the toroidal embedding theory and three algebraic surfaces M1, M2, M3 with q = pq = 0. M1 and M3 are known as an Enriques surfaces and a Godeaux surface, respectively. The chapter also presents a theorem that states that the exceptional divisor E(P) is a smooth compactification of M.
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