Stability Theorems for Spaces of Rational Curves

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dc.creatorBoyer, C. P.
dc.creatorHurtubise, J. C.
dc.creatorMilgram, R. J.
dc.date1999-03-16
dc.date.accessioned2026-07-07T05:28:21Z
dc.date.available2026-07-07T05:28:21Z
dc.descriptionLet X be a smooth algebraic variety on which a solvable Lie group acts freely on a dense open orbit. Such varieties include generalized flag varieties, toric varieties, Bott-Samelson varieties, and many spherical varieties, as well as equivariant blow-ups of these. We prove that the space of based holomorphic maps from the Riemann sphere to X approximates in an appropriate sense, both in homology and in homotopy the space of all continuous based maps from the 2-sphere to X, that is the 2-fold loop space of X.
dc.description37 pages, Revised Version
dc.identifierhttps://arxiv.org/abs/math/9903099
dc.identifierhttp://arxiv.org/abs/math/9903099
dc.identifierInt. Journ. of Math. 12(2) (2001), 223-262
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78227
dc.subjectAlgebraic Geometry
dc.subjectAlgebraic Topology
dc.titleStability Theorems for Spaces of Rational Curves
dc.typetext

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