projective algebraic variety造句

例句与造句

An affine or projective algebraic variety defined by a toric ideal or a homogeneous toric ideal is an affine or projective toric variety, possibly non-normal.
They play a fundamental role in algebraic geometry, as a projective algebraic variety is defined as the set of the common zeros of a set of homogeneous polynomials.
A fundamental theorem of Birkar-Cascini-Hacon-McKernan from 2006 is that the canonical ring of a smooth or mildly singular projective algebraic variety is finitely generated.
By Chow's theorem, a projective complex manifold is also a smooth projective algebraic variety, that is, it is the zero set of a collection of homogeneous polynomials.
In mathematics, particularly in algebraic geometry, complex analysis and number theory, an "'abelian variety "'is a projective algebraic variety that is also an algebraic group, i . e ., has a group law that can be defined by regular functions.

It's difficult to find projective algebraic variety in a sentence. 用projective algebraic variety造句挺难的
In classical algebraic geometry, a generic point of an affine or projective algebraic variety of dimension " d " is a point such that the field generated by its coordinates has the transcendence degree " d " over the field generated by the coefficients of the equations of the variety.
Complex scheme . showed that a Moishezon manifold is a projective algebraic variety if and only if it admits a K鋒ler metric . showed that any Moishezon manifold carries an algebraic space structure; more precisely, the category of Moishezon spaces ( similar to Moishezon manifolds, but are allowed to have singularities ) is equivalent with the category of algebraic spaces that are proper over.
If " G " is a semisimple algebraic group ( or Lie group ) and " V " is a ( finite dimensional ) highest weight representation of " G ", then the highest weight space is a point in the projective space P ( " V " ) and its orbit under the action of " G " is a projective algebraic variety.