divisor variety
1Divisor (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… …
2Theta-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… …
3Prym variety — In mathematics, the Prym variety construction is a method in algebraic geometry of making an abelian variety from a morphism of algebraic curves. In its original form, it was applied to an unramified double covering of a Riemann surface, and was… …
4Normal crossing divisor — In algebraic geometry, normal crossing divisors are a class of divisors which generalize the smooth divisors. Intuitively they cross only in a transversal way.Let A be an algebraic variety, and Z= Z i a reduced Cartier divisor, with Z i its… …
5Special 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… …
6Common divisor — Common Com mon, a. [Compar. {Commoner}; superl. {Commonest}.] [OE. commun, comon, OF. comun, F. commun, fr. L. communis; com + munis ready to be of service; cf. Skr. mi to make fast, set up, build, Goth. gamains common, G. gemein, and E. mean low …
7Canonical 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… …
8Ample 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… …
9Blowing 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… …
10Normal crossings — In algebraic geometry normal crossings is the property of intersecting geometric objects to do it in a transversal way. Contents 1 Normal crossing divisors 2 Normal crossings singularity 3 Simple normal crossings singularity …
