English

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

Algebraic Geometry 2023-02-06 v2

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.

Keywords

Cite

@article{arxiv.2203.00152,
  title  = {The Harbourne-Hirschowitz condition and the Anticanonical Orthogonal Property for surfaces},
  author = {Abel Castorena and Juan Bosco Frías-Medina},
  journal= {arXiv preprint arXiv:2203.00152},
  year   = {2023}
}

Comments

13 pages, 1 figure. Minor changes