Combinatorial structure of exceptional sets in resolutions of singularities

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dc.creatorStepanov, D. A.
dc.date2006-11-29
dc.date.accessioned2026-07-07T07:33:28Z
dc.date.available2026-07-07T07:33:28Z
dc.descriptionThe dual complex can be associated to any resolution of singularities whose exceptional set is a divisor with simple normal crossings. It generalizes to higher dimensions the notion of the dual graph of a resolution of surface singularity. The homotopy type of the dual complex does not depend on the choice of a resolution and thus can be considered as an invariant of singularity. In this preprint we show that the dual complex is homotopy trivial for resolutions of 3-dimensional terminal singularities and for resolutions of Brieskorn singularities. We also review our earlier results on resolutions of rational and hypersurface singularities.
dc.description18 pages; to appear as a preprint of the Max-Planck-Institut, Bonn
dc.identifierhttps://arxiv.org/abs/math/0611903
dc.identifierhttp://arxiv.org/abs/math/0611903
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/119469
dc.subjectAlgebraic Geometry
dc.subject14B05; 32S50
dc.titleCombinatorial structure of exceptional sets in resolutions of singularities
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