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.
Funding statement: First author funded by CONICYT PFCHA / Doctorado Becas Chile/2015 - 72160240. Second author funded by CONICYT-PFCHA / Magíster Nacional/2018 - 22180988. The third author was supported by the FONDECYT regular grant 1190066.
Communicated by: G. Korchmáros
References
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© 2022 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- Semistable Higgs bundles on elliptic surfaces
- On the rigidity of harmonic-Ricci solitons
- On Ricci negative derivations
- Approximating coarse Ricci curvature on submanifolds of Euclidean space
- Convex cones spanned by regular polytopes
- On the geography of line arrangements
- Towards resolving Keller’s cube tiling conjecture in dimension seven
Artikel in diesem Heft
- Frontmatter
- Semistable Higgs bundles on elliptic surfaces
- On the rigidity of harmonic-Ricci solitons
- On Ricci negative derivations
- Approximating coarse Ricci curvature on submanifolds of Euclidean space
- Convex cones spanned by regular polytopes
- On the geography of line arrangements
- Towards resolving Keller’s cube tiling conjecture in dimension seven