Contraction of excess fibres between the McKay correspondences in dimensions two and three

Simple item page
dc.creatorBoissiere, Samuel
dc.creatorSarti, Alessandra
dc.date2005-04-18
dc.date.accessioned2026-07-07T05:19:12Z
dc.date.available2026-07-07T05:19:12Z
dc.descriptionThe quotient singularities of dimensions two and three obtained from polyhedral groups and the corresponding binary polyhedral groups admit natural resolutions of singularities as Hilbert schemes of regular orbits whose exceptional fibres over the origin reveal similar properties. We construct a morphism between these two resolutions, contracting exactly the excess part of the exceptional fibre. This construction is motivated by the study of some pencils of K3-surfaces arising as minimal resolutions of quotients of nodal surfaces with high symmetries.
dc.description21 pages
dc.identifierhttps://arxiv.org/abs/math/0504360
dc.identifierhttp://arxiv.org/abs/math/0504360
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74936
dc.subjectAlgebraic Geometry
dc.subjectPrimary 14C05; Secondary 14E15,20C15,51F15
dc.titleContraction of excess fibres between the McKay correspondences in dimensions two and three
dc.typetext

Files

Collections

arXiv