Every connected sum of lens spaces is a real component of a uniruled algebraic variety

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dc.creatorHuisman, Johannes
dc.creatorMangolte, Frédéric
dc.date2004-12-08
dc.date2005-03-18
dc.date.accessioned2026-07-07T12:58:15Z
dc.date.available2026-07-07T12:58:15Z
dc.descriptionLet M be a connected sum of finitely many lens spaces, and let N be a connected sum of finitely many copies of S^1xS^2. We show that there is a uniruled algebraic variety X such that the connected sum M#N of M and N is diffeomorphic to a connected component of the set of real points X(R) of X. In particular, any finite connected sum of lens spaces is diffeomorphic to a real component of a uniruled algebraic variety.
dc.descriptionNouvelle version avec deux figures
dc.identifierhttps://arxiv.org/abs/math/0412159
dc.identifierhttp://arxiv.org/abs/math/0412159
dc.identifierAnnales de l'Institut Fourier 55 (2005) 2475-2487
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/225181
dc.subjectAlgebraic Geometry
dc.subject14P25
dc.titleEvery connected sum of lens spaces is a real component of a uniruled algebraic variety
dc.typetext

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