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The Harbourne-Hirschowitz condition and the Anticanonical Orthogonal Property for surfaces

2022/03/01 by Castorena, Abel, Frías-Medina, Juan Bosco
#14C20 #14J26 #14J28 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2203.00152

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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