mathematics, the cone of curves (sometimes the Kleiman-Mori cone) of an algebraic variety X {\displaystyle X} is a combinatorial invariant of importance to...

the cone of curves may be spanned by one (−2)-curve and one curve with self-intersection 0.) So the cone of curves is either the standard round cone, or...

variety X, the cone of curves means the convex cone spanned by all curves in X (in the real vector space N 1 ( X ) {\displaystyle N_{1}(X)} of 1-cycles modulo...

degree on every curve in the variety. The classes of nef line bundles are described by a convex cone, and the possible contractions of the variety correspond...

through time as seen externally. A closed timelike curve can be created if a series of such light cones are set up so as to loop back on themselves, so it...

and as a cone in drawings with one spatial dimension suppressed. time-like curves, with a speed less than the speed of light. These curves must fall...

contribute to the development of the Minimal model program (MMP). In 1984 he published a paper titled On the closed cone of curves of algebraic 3-folds where...

Cone cells or cones are photoreceptor cells in the retina of the vertebrate eye. Cones are active in daylight conditions and enable photopic vision, as...

the curve is called a parametrization, and the curve is a parametric curve. In this article, these curves are sometimes called topological curves to distinguish...

conjecture on curves, named after Masayoshi Nagata, governs the minimal degree required for a plane algebraic curve to pass through a collection of very general...

In linear algebra, a cone—sometimes called a linear cone to distinguish it from other sorts of cones—is a subset of a real vector space that is closed...

section, conic or a quadratic curve is a curve obtained from a cone's surface intersecting a plane. The three types of conic section are the hyperbola...

considered only for real curves, although they also make sense when defined in this way for curves over an arbitrary field. A plane curve of degree n intersects...

In special and general relativity, a light cone (or "null cone") is the path that a flash of light, emanating from a single event (localized to a single...

"Hilbert's 14th problem over finite fields and a conjecture on the cone of curves", Compositio Mathematica, 144 (5): 1176–1198, arXiv:0808.0695, doi:10...

n} .) The first key result is the cone theorem of Shigefumi Mori, describing the structure of the cone of curves of X {\displaystyle X} . Briefly, the...

only if L has positive degree on every nonzero element C of the closure of the cone of curves NE(X) in N 1 ( X ) {\displaystyle N_{1}(X)} . (This is slightly...

the curve. The requirements of regularity and nondegeneracy of Σ {\displaystyle \Sigma } ensure that closed causal curves (such as those consisting of a...

Given the problem of the aerodynamic design of the nose cone section of any vehicle or body meant to travel through a compressible fluid medium (such...

Traffic cones, also called pylons, witches' hats, road cones, highway cones, safety cones, caution cones, channelizing devices, construction cones, roadworks...

occurs because each type of cone responds to the cumulative energy from a broad range of wavelengths, so that different combinations of light across all wavelengths...

curves) Crunode Curve Curve sketching Jacobian variety Klein quartic List of curves Hilbert's sixteenth problem Cubic plane curve Hyperelliptic curve...

descriptions, which can all be proved to define exactly the same curves. One description of a parabola involves a point (the focus) and a line (the directrix)...

trichromatism is the possession of three independent channels for conveying color information, derived from the three different types of cone cells in the eye. Organisms...

as one of the coordinates was more perceptually uniform than CIELAB. Because of the shape of the cone response S-curve, when the luminance of a colour...

cutting of a right circular cone by a plane perpendicular to an element of the cone. That is, Menaechmus is reputed to have discovered the curves that were...

minimal standing wave patterns in the cone, and iii) linearity of the surrounds force-deflection curve. The cone stiffness/damping plus the surround's...

Most wavelengths stimulate two or all three kinds of cone cell because the spectral sensitivity curves of the three kinds overlap. Certain tristimulus values...

management, the cone of uncertainty describes the evolution of the amount of best case uncertainty during a project. At the beginning of a project, comparatively...

than or equal to the order of the curve. In practice, cubic curves are the ones most commonly used. Fifth- and sixth-order curves are sometimes useful, especially...