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2009-07-01Zeitschriftenartikel DOI: 10.1515/ADVGEOM.2009.019
Petersen plane arrangements and a surface with multiple 7-secants
dc.contributor.authorAbo, Hirotachi
dc.contributor.authorKley, Holger P.
dc.contributor.authorPeterson, Chris
dc.date.accessioned2017-06-17T09:46:20Z
dc.date.available2017-06-17T09:46:20Z
dc.date.created2010-07-01
dc.date.issued2009-07-01
dc.identifier.issn1615-7168
dc.identifier.urihttp://edoc.hu-berlin.de/18452/12571
dc.description.abstractWe study configurations of 2-planes in that are combinatorially described by the Petersen graph. We discuss conditions for configurations to be locally Cohen–Macaulay and describe the Hilbert scheme of such arrangements. An analysis of the homogeneous ideals of these configurations leads, via linkage, to a class of smooth, general type surfaces in . We compute their numerical invariants and show that they have the unusual property that they admit (multiple) 7-secants. Finally, we demonstrate that the construction applied to Petersen arrangements with additional symmetry leads to surfaces with exceptional automorphism groups.eng
dc.language.isound
dc.publisherKooperation de Gruyter
dc.titlePetersen plane arrangements and a surface with multiple 7-secants
dc.typearticle
dc.identifier.urnurn:nbn:de:kobv:11-100150539
dc.identifier.doi10.1515/ADVGEOM.2009.019
dc.identifier.doihttp://dx.doi.org/10.18452/11919
local.edoc.container-titleAdvances in Geometry
local.edoc.type-nameZeitschriftenartikel
local.edoc.container-typeperiodical
local.edoc.container-type-nameZeitschrift
local.edoc.container-publisher-namede Gruyter
local.edoc.container-volume9
local.edoc.container-issue3
local.edoc.container-year2009
local.edoc.container-firstpage349
local.edoc.container-lastpage369
dc.description.versionPeer Reviewed

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