Chilean configuration of conics, lines and points

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dc.contributor.authorDolgachev, Igor
dc.contributor.authorLaface, Antonio
dc.contributor.authorPersson, Ulf
dc.contributor.authorUrzua, Giancarlo
dc.date.accessioned2025-01-20T21:04:30Z
dc.date.available2025-01-20T21:04:30Z
dc.date.issued2022
dc.description.abstractUsing the theory of rational elliptic fibrations, we construct and discuss a one parameter family of configurations of 12 conics and 9 points in the projective plane that realizes an abstract configuration (12(6), 9(8)). This is analogous to the famous Hesse configuration of 12 lines and 9 points forming an abstract configuration (12(3), 9(4)). We also show that any Halphen elliptic fibration of index 2 with four triangular singular fibers arises from such configuration of conics.
dc.fuente.origenWOS
dc.identifier.eissn2036-2145
dc.identifier.issn0391-173X
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/93242
dc.identifier.wosidWOS:000820962700010
dc.issue.numero2
dc.language.isoen
dc.pagina.final914
dc.pagina.inicio877
dc.revistaAnnali della scuola normale superiore di pisa-classe di scienze
dc.rightsacceso restringido
dc.titleChilean configuration of conics, lines and points
dc.typeartículo
dc.volumen23
sipa.indexWOS
sipa.trazabilidadWOS;2025-01-12
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