Detecting flat normal cones using Segre classes

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dc.creatorColley, S. J.
dc.creatorKennedy, G.
dc.date2000-10-06
dc.date2000-10-31
dc.date.accessioned2026-07-07T04:37:53Z
dc.date.available2026-07-07T04:37:53Z
dc.descriptionGiven a flat, projective morphism $Y \to T$ from an equidimensional scheme to a nonsingular curve and a subscheme $Z$ of $Y$, we give conditions under which specialization of the Segre class $s(N_{Z}Y)$ of the normal cone of $Z$ in $Y$ implies flatness of the normal cone. We apply this result to study when the relative tangent star cone of a flat family is flat.
dc.descriptionLaTeX, 11 pages, no figures
dc.identifierhttps://arxiv.org/abs/math/0010067
dc.identifierhttp://arxiv.org/abs/math/0010067
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60071
dc.subjectAlgebraic Geometry
dc.subjectCommutative Algebra
dc.subject13A30 14C17 (Primary) 14B25 14M05 (Secondary)
dc.titleDetecting flat normal cones using Segre classes
dc.typetext

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