Crepant Terminalisations and Orbifold Euler Numbers for SL(4) Singularities

dc.creatorInfirri, Alexander V. Sardo
dc.date1996-10-01
dc.date.accessioned2026-07-07T09:06:59Z
dc.date.available2026-07-07T09:06:59Z
dc.descriptionLet $X$ and $Y$ be two analytic canonical Gorenstein orbifolds. A resolution of singularities $Y\to X$ is called an Euler resolution if $Y$ and $X$ have the same orbifold Euler number. If $Y$ is only terminal rather than smooth, it is called an Euler terminalisation. It is proved that Euler terminalisations exist for toric varieties in any dimension, for 4-dimensional toroidal varieties, and for singularities $\C^4/G$ where $G$ belongs to certain classes of $\SL(4)$ subgroups. The method of proof is expected to be applicable to a sizeable number of finite $\SL(4)$ subgroups and to lead to a generalisation of the Dixon-Harvey-Vafa-Witten orbifold Euler number conjecture to dimension~4.
dc.descriptionLaTex2e, 22 pages with 1 table
dc.identifierhttps://arxiv.org/abs/alg-geom/9610001
dc.identifierhttp://arxiv.org/abs/alg-geom/9610001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/150212
dc.subjectAlgebraic Geometry
dc.subject32S45 (Primary) 14L30 14E30 (Secondary)
dc.titleCrepant Terminalisations and Orbifold Euler Numbers for SL(4) Singularities
dc.typetext

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