Real algebraic threefolds. III. Conic bundles

DOI10.1007/BF02367244zbMath0964.14014arXivmath/9802053MaRDI QIDQ1296186

János Kollár

Publication date: 16 August 1999

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9802053

zbMATH Keywords

minimal model theoryrational curveconic bundlelens spacesSeifert fiber spacerational algebraic surfacereal algebraic threefolds

Mathematics Subject Classification ID

(3)-folds (14J30) Minimal model program (Mori theory, extremal rays) (14E30) Topology of real algebraic varieties (14P25)

Related Items

Every connected sum of lens spaces is a real component of a uniruled algebraic variety, Effective results in the three-dimensional minimal model program, Nash’s work in algebraic geometry, On \(\mathbb Q\)-conic bundles, Which are the simplest algebraic varieties?, Automorphisms of real rational surfaces and weighted blow-up singularities, On \(\mathbb Q\)-conic bundles. II, Real singular Del Pezzo surfaces and threefolds fibred by rational curves. I, Threefold extremal curve germs with one non-Gorenstein point, General elephants for threefold extremal contractions with one-dimensional fibres: exceptional case, The Nash conjecture for threefolds, Real algebraic threefolds II. Minimal model program

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Singularities of differentiable maps, Volume 1. Classification of critical points, caustics and wave fronts. Transl. from the Russian by Ian Porteous, edited by V. I. Arnol'd
• Real algebraic surfaces with rational or elliptic fiberings
• The birational geometry of surfaces with rational double points
• The topological type of nonsingular surfaces in \(RP^3\) of degree four
• Homotopy equivalences of 3-manifolds with boundaries
• Real algebraic threefolds. I: Terminal singularities
• Elementary contractions of Gorenstein threefolds
• Bundles with totally disconnected structure group
• Real algebraic manifolds
• Singular Del Pezzo surfaces and analytic compactifications of 3-dimensional complex affine space C³
• The structure of algebraic threefolds: an introduction to Mori’s program
• Flip Theorem and the Existence of Minimal Models for 3-Folds
• Classification of Three-Dimensional Flips
• Variétés de Prym et jacobiennes intermédiaires
• Real algebraic threefolds II. Minimal model program
• On the existence of complements of the canonical divisor for Mori conic bundles
• The Geometries of 3-Manifolds
• Real algebraic surfaces