On the geometry of SL(2)-equivariant flips

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dc.creatorBatyrev, Victor
dc.creatorHaddad, Fatima
dc.date2008-03-17
dc.date.accessioned2026-07-07T09:27:11Z
dc.date.available2026-07-07T09:27:11Z
dc.descriptionIn this paper, we show that any 3-dimensional normal affine quasihomogeneous SL(2)-variety can be described as a categorical quotient of a 4-dimensional affine hypersurface. Moreover, we show that the Cox ring of an arbitrary 3-dimensional normal affine quasihomogeneous SL(2)-variety has a unique defining equation. This allows us to construct SL(2)-equivariant flips by different GIT-quotients of hypersurfaces. Using the theory of spherical varieties, we describe SL(2)-flips by means of 2-dimensional colored cones.
dc.description26 pages
dc.identifierhttps://arxiv.org/abs/0803.2504
dc.identifierhttp://arxiv.org/abs/0803.2504
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/157008
dc.subjectAlgebraic Geometry
dc.subjectCombinatorics
dc.titleOn the geometry of SL(2)-equivariant flips
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