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Mathematics > Algebraic Geometry

arXiv:1805.00990 (math)
[Submitted on 2 May 2018 (v1), last revised 17 Apr 2019 (this version, v2)]

Title:On the geography of line arrangements

Authors:Sebastian Eterović, Fernando Figueroa, Giancarlo Urzúa
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Abstract:This is a short note on 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 prove a connection between their accumulation points and the accumulation points of linear $H$-constants on the plane, and we present two open problems in relation to geography over $\mathbb Q$ and over $\mathbb C$.
Subjects: Algebraic Geometry (math.AG); Combinatorics (math.CO)
Cite as: arXiv:1805.00990 [math.AG]
  (or arXiv:1805.00990v2 [math.AG] for this version)
  https://doi.org/10.48550/arXiv.1805.00990

Submission history

From: Giancarlo Urzua [view email]
[v1] Wed, 2 May 2018 19:28:32 UTC (10 KB)
[v2] Wed, 17 Apr 2019 00:43:24 UTC (13 KB)
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