Surfaces of General Type (original) (raw)

This paper introduces key concepts and results regarding surfaces of general type in algebraic geometry, emphasizing the significance of canonical divisors and their roles in various theorems, including the adjunction formula and the genus formula. It explores minimal surfaces and the blow-up process, detailing results on projective surfaces, and presents foundational theorems, such as the geography of surfaces and characteristics of specific surfaces constructed by Godeaux. The paper furthers the understanding of the classifications, singularities, and moduli spaces associated with these algebraic structures.