On the geography of line arrangements

dc.contributor.authorEterovic, Sebastian
dc.contributor.authorFigueroa, Fernando
dc.contributor.authorUrzua, Giancarlo
dc.date.accessioned2025-01-20T22:02:01Z
dc.date.available2025-01-20T22:02:01Z
dc.date.issued2022
dc.description.abstractWe 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 DOUBLE-STRUCK CAPITAL Q and over DOUBLE-STRUCK CAPITAL C.
dc.fuente.origenWOS
dc.identifier.doi10.1515/advgeom-2021-0025
dc.identifier.eissn1615-7168
dc.identifier.issn1615-715X
dc.identifier.urihttps://doi.org/10.1515/advgeom-2021-0025
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/93920
dc.identifier.wosidWOS:000734166200001
dc.issue.numero2
dc.language.isoen
dc.pagina.final276
dc.pagina.inicio269
dc.revistaAdvances in geometry
dc.rightsacceso restringido
dc.subjectLine arrangement
dc.subjectChern number
dc.titleOn the geography of line arrangements
dc.typeartículo
dc.volumen22
sipa.indexWOS
sipa.trazabilidadWOS;2025-01-12
Files