Family Switching Formula and the $-n$ Exceptional Rational Curves

dc.creatorLiu, Ai-Ko
dc.date2003-08-20
dc.date2003-08-21
dc.date.accessioned2026-07-07T05:00:32Z
dc.date.available2026-07-07T05:00:32Z
dc.descriptionIn this paper, we derive the family switching formula of -n two-sphere fiber bundle embedded in a smooth four-manifold fiber bundle. In the smooth category, it is a partial generalization of Fintushel-Stern's argument for four-manifolds. We also derive an algebraic analogue of the family switching formula, allowing the P^1 fibration to carry singular fibers. At the end, we apply the idea of switching to compare the canonical algebraic Kuranishi models of different classes on the so-called "universal family".
dc.description59 pages, 1 figure, some name typos fixed
dc.identifierhttps://arxiv.org/abs/math/0308197
dc.identifierhttp://arxiv.org/abs/math/0308197
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68356
dc.subjectDifferential Geometry
dc.subjectAlgebraic Geometry
dc.subject57R57
dc.titleFamily Switching Formula and the $-n$ Exceptional Rational Curves
dc.typetext

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