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

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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Bibliographic Details
Main Authors Castorena, Abel, Frías-Medina, Juan Bosco
Format Journal Article
LanguageEnglish
Published 28.02.2022
Subjects
Mathematics - Algebraic Geometry
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Summary: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.
DOI:10.48550/arxiv.2203.00152