projective algebraic in a sentence

1) Projective algebraic manifolds are an equivalent definition for projective varieties.

algebraic collocations
2) The "projective varieties" are the projective algebraic sets whose defining ideal is prime.

3) In particular, the non-singular complex projective algebraic curves are called Riemann surfaces.

projective algebraic example sentences

4) Every projective algebraic set may be uniquely decomposed into a finite union of projective varieties.

5) A complex projective algebraic curve resides in "n"-dimensional complex projective space CP"n".

6) If the condition of generating a prime ideal is removed, such a set is called a projective algebraic set.

7) 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.

8) The Chow variety Chow(d,P"3") is a projective algebraic variety which parametrizes degree "d" curves in P"3".

9) Suppose that "X" is a non-singular "n"-dimensional projective algebraic variety over the field F"q" with "q" elements.

10) 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.

11) In mathematics, an elliptic curve (EC) is a smooth, projective algebraic curve of genus one, on which there is a specified point "O".

12) Like for affine algebraic sets, there is a bijection between the projective algebraic sets and the reduced homogeneous ideals which define them.

13) This allows to define a " projective algebraic set" in P"n" as the set "V"("f"1, ..., "f""k") where vanishes a finite set of homogeneous polynomials {"f"1, ..., "f""k"}.

14) a connected and projective algebraic group over "k".



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