One-Parameter Toric Deformations of Cyclic Quotient Singularities

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dc.creatorIlten, Nathan
dc.date2008-01-15
dc.date2008-10-17
dc.date.accessioned2026-07-07T12:46:00Z
dc.date.available2026-07-07T12:46:00Z
dc.descriptionIn the case of two-dimensional cyclic quotient singularities, we classify all one-parameter toric deformations in terms of certain Minkowski decompositions. In particular, we describe to which components each such deformation maps, show how to induce each deformation from a versal family, give explicit equations for each deformation, describe the singularities in the general fibers, and construct the corresponding partial simultaneous resolutions.
dc.description18 pages, 3 figures; v2 minor revisions; v3 strengthened main theorem
dc.identifierhttps://arxiv.org/abs/0801.2370
dc.identifierhttp://arxiv.org/abs/0801.2370
dc.identifierJournal of Pure and Applied Algebra, Volume 213 (2009), pp. 1086-1096
dc.identifierdoi:10.1016/j.jpaa.2008.11.010
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/221238
dc.subjectAlgebraic Geometry
dc.subject14B07; 14M25
dc.titleOne-Parameter Toric Deformations of Cyclic Quotient Singularities
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