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irreducible surface

См. также в других словарях:

  • Surface subgroup conjecture — In mathematics, the surface subgroup conjecture of Friedhelm Waldhausen states that the fundamental group of every closed, irreducible 3 manifold with infinite fundamental group has a surface subgroup. By surface subgroup we mean the fundamental… …   Wikipedia

  • Rational surface — In algebraic geometry, a branch of mathematics, a rational surface is a surface birationally equivalent to the projective plane, or in other words a rational variety of dimension two. Rational surfaces are the simplest of the 10 or so classes of… …   Wikipedia

  • Zariski surface — In algebraic geometry, a branch of mathematics, a Zariski surface is a surface over a field of characteristic p gt; 0 such that there is a dominant inseparable map of degree p from the projective plane to the surface. In particular, all Zariski… …   Wikipedia

  • Del Pezzo surface — In mathematics, a del Pezzo surface or Fano surface is a two dimensional Fano variety, in other words a non singular projective algebraic surface with ample anticanonical divisor class. They are in some sense the opposite of surfaces of general… …   Wikipedia

  • Elliptic surface — In mathematics, an elliptic surface is a surface that has an elliptic fibration, in other words a proper connected smooth morphism to an algebraic curve, almost all of whose fibers are elliptic curves. The fibers that are not elliptic curves are… …   Wikipedia

  • Dolgachev surface — In mathematics, Dolgachev surfaces are certain simply connected elliptic surfaces, introduced by Dolgachev (1981). They can be used to give examples of an infinite family of homeomorphic simply connected compact 4 manifolds no two of which are… …   Wikipedia

  • Haken manifold — In mathematics, a Haken manifold is a compact, P² irreducible 3 manifold that contains a two sided incompressible surface. Sometimes one considers only orientable Haken manifolds, in which case a Haken manifold is a compact, orientable,… …   Wikipedia

  • Heegaard splitting — In the mathematical field of geometric topology, a Heegaard splitting is a decomposition of a compact oriented 3 manifold that results from dividing it into two handlebodies. The importance of Heegaard splittings has grown in recent years as more …   Wikipedia

  • Geometrization conjecture — Thurston s geometrization conjecture states that compact 3 manifolds can be decomposed canonically into submanifolds that have geometric structures. The geometrization conjecture is an analogue for 3 manifolds of the uniformization theorem for… …   Wikipedia

  • Perron–Frobenius theorem — In linear algebra, the Perron–Frobenius theorem, proved by Oskar Perron (1907) and Georg Frobenius (1912), asserts that a real square matrix with positive entries has a unique largest real eigenvalue and that the corresponding… …   Wikipedia

  • Intersection theory (mathematics) — In mathematics, intersection theory is a branch of algebraic geometry, where subvarieties are intersected on an algebraic variety, and of algebraic topology, where intersections are computed within the cohomology ring. The theory for varieties is …   Wikipedia

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