rational surface

rational surface
мат. рациональная поверхность

Большой англо-русский и русско-английский словарь. 2001.

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  • 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

  • Rational variety — In mathematics, a rational variety is an algebraic variety, over a given field K, which is birationally equivalent to projective space of some dimension over K. This is a question on its function field: is it up to isomorphism the field of all… …   Wikipedia

  • Rational reconstruction — is a philosophical and linguistic method that systematically translates intuitive knowledge of rules into a logical form. [ * Habermas, Jurgen. (1979). Communication and the Evolution of Society. Toronto: Beacon Press.] In other words, it is an… …   Wikipedia

  • Surface of class VII — In mathematics, surfaces of class VII are non algebraic complex surfaces studied by (Kodaira 1964, 1968) that have Kodaira dimension −∞ and first Betti number 1. Minimal surfaces of class VII (those with no rational curves with self… …   Wikipedia

  • Rational horizon — Horizon Ho*ri zon, n. [F., fr. L. horizon, fr. Gr. ? (sc. ?) the bounding line, horizon, fr. ? to bound, fr. ? boundary, limit.] 1. The line which bounds that part of the earth s surface visible to a spectator from a given point; the apparent… …   The Collaborative International Dictionary of English

  • rational horizon — Horizon Ho*ri zon, n. [F., fr. L. horizon, fr. Gr. ? (sc. ?) the bounding line, horizon, fr. ? to bound, fr. ? boundary, limit.] 1. The line which bounds that part of the earth s surface visible to a spectator from a given point; the apparent… …   The Collaborative International Dictionary of English

  • Rational singularity — In mathematics, more particularly in the field of algebraic geometry, a scheme X has rational singularities, if it is normal, of finite type over a field of characteristic zero, and there exists a proper birational map :f : Y ightarrow X from a… …   Wikipedia

  • Surface of general type — In algebraic geometry, a surface of general type is an algebraic surface with Kodaira dimension 2.These are all algebraic, and in some sense most surfaces are in this class. ClassificationGieseker showed that there is a coarse moduli scheme for… …   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

  • Cubic surface — A cubic surface is a projective variety studied in algebraic geometry. It is an algebraic surface in three dimensional projective space defined by a single polynomial which is homogeneous of degree 3 (hence, cubic). Cubic surfaces are del Pezzo… …   Wikipedia

  • Châtelet surface — Some snapshots showing the real points of the Châtelet surface with P(x)=x^3 5*x^2 6*x. Axis: x=red, y=yellow, z=blu In algebraic geometry, a Châtelet surface is a rational surface studied by Châtelet (1959) given by an equation where …   Wikipedia


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