Real Algebraic Threefolds III: Conic Bundles

dc.creatorKollár, János
dc.date1998-02-10
dc.date.accessioned2026-07-07T05:23:49Z
dc.date.available2026-07-07T05:23:49Z
dc.descriptionThis is the third of a series of papers studying real algebraic threefolds, but the methods are mostly independent from the previous two. Let $f:X\to S$ be a map of a smooth projective real algebraic 3-fold to a surface $S$ whose general fibers are rational curves. Assume that the set of real points of $X$ is an orientable 3-manifold $M$. The aim of the paper is to give a topological description of $M$. It is shown that $M$ is either Seifert fibered or a connected sum of lens spaces. Much stronger results hold if $S$ is rational.
dc.descriptionLATEX2e, 40 pages
dc.identifierhttps://arxiv.org/abs/math/9802053
dc.identifierhttp://arxiv.org/abs/math/9802053
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76597
dc.subjectAlgebraic Geometry
dc.titleReal Algebraic Threefolds III: Conic Bundles
dc.typetext

Files

Collections