On the cotangent cohomology of rational surface singularities with almost reduced fundamental cycle

dc.creatorGustavsen, Trond Stolen
dc.date2003-12-14
dc.date.accessioned2026-07-07T05:03:55Z
dc.date.available2026-07-07T05:03:55Z
dc.descriptionWe prove dimension formulas for the cotangent spaces $T^{1}$ and $T^{2}$ for a class of rational surface singularities by calculating a correction term in the general dimension formulas. We get that it is zero if the dual graph of the rational surface singularity $X$ does not contain a particular type of configurations, and this generalizes a result of Theo de Jong stating that the correction term $c(X)$ is zero for rational determinantal surface singularities. In particular our result implies that $c(X)$ is zero for Riemenschneiders quasi-determinantal rational surface singularities, and this also generalise results for qoutient singularities.
dc.description11 pages, one figure
dc.identifierhttps://arxiv.org/abs/math/0312278
dc.identifierhttp://arxiv.org/abs/math/0312278
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69600
dc.subjectAlgebraic Geometry
dc.subject14B07; 14B10; 13D03
dc.titleOn the cotangent cohomology of rational surface singularities with almost reduced fundamental cycle
dc.typetext

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