projective line


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projective line

[prə′jek·tiv ′līn]
(mathematics)
The line obtained from the stereographic projection of the circle.
References in periodicals archive ?
Then, X is either a projective line bundle over [bar.
Coverage includes a guide to closure operations in commutative algebra, a survey of test ideals, finite-dimensional vector spaces with Frobenius action, finiteness and homological conditions in commutative group rings, regular pullbacks, noetherian rings without finite normalization, Krull dimension of polynomial and power series rings, the projective line over the integers, on zero divisor graphs, and a closer look at non-unique factorization via atomic decay and strong atoms.
A line in P is given by an equation {(x, y, z)|ax + by + cz = 0}, that is, a projective line corresponds to a plane in [F.
His condition is as follows: if each projective line has at least three points of intersection with hyperplanes in H, then [P.
In the rest of this paper, we will regard the projective line PK as the union K [union]{[infinity]} and a rational map as an action on K [union] {[infinity]}.
Topics of the 13 papers include products and powers of linear codes under component wise multiplication, the geometry of efficient arithmetic on elliptic curves, 2-2-2 isogenics between Jacobians of hyperelliptic curves, a point counting algorithm for cyclic covers of the projective line, genetics of polynomials over local fields, and smooth embeddings for the Suzuki and Ree curves.
We project from a projective line intersecting X in two points x and y onto a 3-dimensional space [GAMMA] skew to this line.
over the regular bipyramid over Q is a direct product with the projective line [P.
Potential theory and dynamics on the Berkovich projective line.
An edge with its two vertices is a combinatorial projective line over [F.
t]), for t the affine variable in the complex projective line P.
Then 12 research papers report on such matters as the Alexander module of a trigonal curve, fibered links of singularities of polar weighted homogeneous mixed polynomials, classes in the classification of curves on rational surfaces with respect to logarithmic pluri-genera, computing algebraic local cohomology classes associated with semi-quasihomogeneous singularities, some geometric-arithmetic aspects of separated variable curves, and mirror symmetry between orbifold projective lines and cusp singularities.