Invariants of singularities of pairs

dc.creatorEin, Lawrence
dc.creatorMustata, Mircea
dc.date2006-04-27
dc.date2006-08-16
dc.date.accessioned2026-07-07T07:11:20Z
dc.date.available2026-07-07T07:11:20Z
dc.descriptionLet X be a smooth complex variety and Y be a closed subvariety of X, or more generally, a closed subscheme of X. We are interested in invariants attached to the singularities of the pair (X, Y). We discuss various methods to construct such invariants, coming from the theory of multiplier ideals, D-modules, the geometry of the space of arcs and characteristic p techniques. We present several applications of these invariants to algebra, higher dimensional birational geometry and to singularities.
dc.description19 pages, to appear in Proceedings of the International Congress of Mathematicians, Madrid, Spain, 2006 (talk to be given by the first author); some typos corrected
dc.identifierhttps://arxiv.org/abs/math/0604601
dc.identifierhttp://arxiv.org/abs/math/0604601
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/111720
dc.subjectAlgebraic Geometry
dc.titleInvariants of singularities of pairs
dc.typetext

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