The Harbourne-Hirschowitz condition and the Anticanonical Orthogonal Property for surfaces
Abstract
In this paper we give the first steps toward the study of the Harbourne-Hirschowitz condition and the Anticanonical Orthogonal Property for regular surfaces. To do so, we consider the Kodaira dimension of the surfaces and study the cases based on the Enriques-Kodaira classification.
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