divisor bundle
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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
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
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
Theta-divisor — In mathematics, the theta divisor Theta; is the divisor in the sense of algebraic geometry defined on an abelian variety A over the complex numbers (and principally polarized) by the zero locus of the associated Riemann theta function. It is… … 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
Special divisor — In mathematics, in the theory of algebraic curves, certain divisors on a curve C are particular, in the sense of determining more compatible functions than would be predicted. These are the special divisors. In classical language, they move on… … Wikipedia
Nef line bundle — A line bundle on an algebraic variety is said to be nef (short for numerically effective or numerically eventually free ), if the degree of the restriction to any algebraic curve of the variety is non negative. In particular, every ample line… … Wikipedia
Blowing up — This article is about the mathematical concept of blowing up. For information about the physical/chemical process, see Explosion. For other uses of Blow up , see Blow up (disambiguation). Blowup of the affine plane. In mathematics, blowing up or… … Wikipedia
Auxiliary fraction — In Swami Bharati Krishna Tirtha s Vedic mathematics, the auxiliary fraction method is used to convert a fraction to its equivalent decimal representation. The auxiliary fraction is not a true fraction, but is simply a mnemonic aid used in the… … Wikipedia
mathematics, East Asian — Introduction the discipline of mathematics as it developed in China and Japan. When speaking of mathematics in East Asia, it is necessary to take into account China, Japan, Korea, and Vietnam as a whole. At a very early time in their… … Universalium
Linear system of divisors — A linear system of divisors algebraicizes the classic geometric notion of a family of curves, as in the Apollonian circles. In algebraic geometry, a linear system of divisors is an algebraic generalization of the geometric notion of a family of… … Wikipedia
