例句與造句

1. Let " X " be a complex projective algebraic curve.
2. Every projective algebraic set may be uniquely decomposed into a finite union of projective varieties.
3. In particular, the non-singular complex projective algebraic curves are called Riemann surfaces.
4. An irreducible projective algebraic set is called a "'projective variety " '.
5. The " projective varieties " are the projective algebraic sets whose defining ideal is prime.
6. It's difficult to find projective algebraic in a sentence. 用projective algebraic造句挺難的
7. Like for affine algebraic sets, there is a bijection between the projective algebraic sets and the reduced homogeneous ideals which define them.
8. The projective Zariski topology is defined for projective algebraic sets just as the affine one is defined for affine algebraic sets, by taking the subspace topology.
9. As with any compact Riemann surface, the sphere may also be viewed as a projective algebraic curve, making it a fundamental example in algebraic geometry.
10. 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.
11. 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.
12. 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.
13. 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.
14. The topic of projective geometry is itself now divided into many research subtopics, two examples of which are projective algebraic geometry ( the study of differential invariants of the projective transformations ).
15. In 1977 Zucker showed that it is possible to construct a counterexample to the Hodge conjecture as complex tori with analytic rational cohomology of type ( p, p ), which is not projective algebraic . ( see the appendix B : in)
16. 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.
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