Eterovic, S orcid.org/0000-0001-6724-5887, Figueroa, F and Urzua, G (2022) On the geography of line arrangements. Advances in Geometry, 22 (2). pp. 269-276. ISSN 1615-715X
Abstract
We present various results about the combinatorial properties of line arrangements in terms of the Chern numbers of the corresponding log surfaces. This resembles the study of the geography of surfaces of general type. We prove some new results about the distribution of Chern slopes, we show a connection between their accumulation points and the accumulation points of linear H-constants on the plane, and we conclude with two open problems in relation to geography over ℚ and over ℂ.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Keywords: | Chern number; Line arrangement |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Pure Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 04 Nov 2022 11:22 |
Last Modified: | 04 Nov 2022 11:22 |
Status: | Published |
Publisher: | Walter de Gruyter |
Identification Number: | 10.1515/advgeom-2021-0025 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:192772 |