algebraic bundle

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• Algebraic vector bundle — In mathematics, an algebraic vector bundle is a vector bundle for which all the transition maps are algebraic functions. All SU(2) instantons over the sphere S^4 are algebraic vector bundles …   Wikipedia

• Algebraic differential equation — Note: Differential algebraic equation is something different. In mathematics, an algebraic differential equation is a differential equation that can be expressed by means of differential algebra. There are several such notions, according to the… …   Wikipedia

• Bundle of rays — Ray Ray, n. [OF. rai, F. rais, fr. L. radius a beam or ray, staff, rod, spoke of a wheel. Cf. {Radius}.] 1. One of a number of lines or parts diverging from a common point or center, like the radii of a circle; as, a star of six rays. [1913… …   The Collaborative International Dictionary of English

• Ample line bundle — In algebraic geometry, a very ample line bundle is one with enough global sections to set up an embedding of its base variety or manifold M into projective space. An ample line bundle is one such that some positive power is very ample. Globally… …   Wikipedia

• Vector bundle — The Möbius strip is a line bundle over the 1 sphere S1. Locally around every point in S1, it looks like U × R, but the total bundle is different from S1 × R (which is a cylinder instead). In mathematics, a vector bundle is a… …   Wikipedia

• Canonical bundle — In mathematics, the canonical bundle of a non singular algebraic variety V of dimension n is the line bundle which is the nth exterior power of the cotangent bundle Ω on V. Over the complex numbers, it is the determinant bundle of holomorphic n… …   Wikipedia

• Line bundle — In mathematics, a line bundle expresses the concept of a line that varies from point to point of a space. For example a curve in the plane having a tangent line at each point determines a varying line: the tangent bundle is a way of organising… …   Wikipedia

• Divisor (algebraic geometry) — In algebraic geometry, divisors are a generalization of codimension one subvarieties of algebraic varieties; two different generalizations are in common use, Cartier divisors and Weil divisors (named for Pierre Cartier and André Weil). These… …   Wikipedia

• Conic bundle — In algebraic geometry, a conic bundle is an algebraic variety that appears as a solution of a Cartesian equation of the form Theoretically, it can be considered as a Severi–Brauer surface, or more precisely as a Châtelet surface. This can be a… …   Wikipedia

• List of algebraic topology topics — This is a list of algebraic topology topics, by Wikipedia page. See also: topology glossary List of topology topics List of general topology topics List of geometric topology topics Publications in topology Topological property Contents 1… …   Wikipedia

• Stable vector bundle — In mathematics, a stable vector bundle is a vector bundle that is stable in the sense of geometric invariant theory. They were defined by harvtxt|Mumford|1963table vector bundles over curvesA bundle W over an algebraic curve (or over a Riemann… …   Wikipedia