Surface birationally equivalent to the projective plane; rational variety of dimension two
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 surface in the Enriques–Kodaira classification of complex surfaces,
and were the first surfaces to be investigated.
a rationalsurface is a surface birationally equivalent to the projective plane, or in other words a rational variety of dimension two. Rational surfaces...
f(x,y)).} A rationalsurface is a surface that admits parameterizations by a rational function. A rationalsurface is an algebraic surface. Given an algebraic...
curves are rational. Castelnuovo's theorem implies also that, in characteristic zero, every unirational surface is rational. A rationality question asks...
geometry, a Bordiga surface is a certain sort of rationalsurface of degree 6 in P4, introduced by Giovanni Bordiga. A Bordiga surface is isomorphic to the...
More generally, every irreducible cubic surface (possibly singular) over an algebraically closed field is rational unless it is the projective cone over...
In mathematics, a rational normal scroll is a ruled surface of degree n in projective space of dimension n + 1. Here "rational" means birational to projective...
through flux surface itself is zero, as magnetic field lines are everywhere tangent to the surface. Flux surfaces can either be rational or irrational...
Zariski in 1971: Let S be a Zariski surface with vanishing geometric genus. Is S necessarily a rationalsurface? For p = 2 and for p = 3 the answer to...
is of general type. For a surface X of general type, the image of the d-canonical map is birational to X if d ≥ 5. Rational varieties (varieties birational...
ISBN 978-0-444-87823-6, MR 0833513 Nagata, Masayoshi (1960), "On rationalsurfaces. I. Irreducible curves of arithmetic genus 0 or 1", Mem. Coll. Sci...
abelian surface with automorphism, and then blowing up to make the surface smooth. The resulting surfaces include some special K3 surfaces and rational surfaces...
geometry, a White surface is one of the rationalsurfaces in Pn studied by White (1923), generalizing cubic surfaces and Bordiga surfaces, which are the...
complex rationalsurface is any algebraic surface birationally equivalent to the complex projective plane. It is known that any non-singular rational variety...
space. They are rationalsurfaces isomorphic to a projective plane blown up in 5 points with no 3 on a line, and are del Pezzo surfaces of degree 4, and...
Rational reconstruction is a philosophical term with several distinct meanings. It is found in the work of Jürgen Habermas and Imre Lakatos. For Habermas...
a rational point of an algebraic variety is a point whose coordinates belong to a given field. If the field is not mentioned, the field of rational numbers...
also called simple surface singularity, Kleinian singularity, or rational double point, is an isolated singularity of a complex surface which is modeled...
invariants q = 0 , p g = 0 {\displaystyle q=0,p_{g}=0} like rationalsurfaces do, though it is not rational. The square of the first Chern class c 1 2 = 1 {\displaystyle...
third. For surfaces, rational singularities were defined by (Artin 1966). Alternately, one can say that X {\displaystyle X} has rational singularities...
In algebraic geometry, a Coble surface was defined by Dolgachev & Zhang (2001) to be a smooth rational projective surface with empty anti-canonical linear...
(GEK) IOSO method based on response-surface methodology Optimal designs Plackett–Burman design Polynomial and rational function modeling Polynomial regression...
statistical modeling (especially process modeling), polynomial functions and rational functions are sometimes used as an empirical technique for curve fitting...
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