Gorenstein Threefold Singularities with Small Resolutions via Invariant Theory for Weyl Groups

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dc.creatorKatz, Sheldon
dc.creatorMorrison, David R.
dc.date1992-02-05
dc.date.accessioned2026-07-07T09:05:39Z
dc.date.available2026-07-07T09:05:39Z
dc.descriptionWe classify simple flops on smooth threefolds, or equivalently, Gorenstein threefold singularities with irreducible small resolution. There are only six families of such singularities, distinguished by Koll{á}r's {\em length} invariant. The method is to apply invariant theory to Pinkham's construction of small resolutions. As a by-product, generators of the ring of invariants are given for the standard action of the Weyl group of each of the irreducible root systems.
dc.description73 pages, AMSLaTeX v1.1
dc.identifierhttps://arxiv.org/abs/alg-geom/9202002
dc.identifierhttp://arxiv.org/abs/alg-geom/9202002
dc.identifierJ. Alg. Geom. 1 (1992) 449--530
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/149748
dc.subjectAlgebraic Geometry
dc.titleGorenstein Threefold Singularities with Small Resolutions via Invariant Theory for Weyl Groups
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