algebraic variety in a sentence
1) To any irreducible algebraic variety is associated its function field.
algebraic collocations
2) In this section, all algebraic varieties are complex algebraic varieties.
3) In this section, all algebraic varieties are complex algebraic varieties .
algebraic variety example sentences
4) Conventions regarding the definition of an algebraic variety differ slightly.5) Every algebraic variety is birational to a projective variety.
6) See Dimension of an algebraic variety for details.
7) Thus it is an affine algebraic variety .
8) In general they have the structure of a smooth algebraic variety .
9) The dimension of an algebraic variety may be defined in various equivalent ways.
10) It is analogous to the included concept of real or complex algebraic variety .
11) Algebraic varieties differ widely in how many birational automorphisms they have.
12) Let "X" be an algebraic variety over a field "k".
13) In algebraic geometry, an algebraic curve is an algebraic variety of dimension one.
14) Contemporary algebraic geometry treats blowing up as an intrinsic operation on an algebraic variety .
15) Critical points are fundamental for studying the topology of manifolds and real algebraic varieties .
example sentences with algebraic variety
16) A large part of singularity theory is devoted to the singularities of algebraic varieties .17) Another example is given by "families" of algebraic varieties parametrised by another variety.
18) In algebraic geometry, the Zariski topology is a topology chosen for algebraic varieties .
19) In another direction, toric varieties are algebraic varieties acted on by a torus.
20) In higher dimensions, moduli of algebraic varieties are more difficult to construct and study.
21) Let __FORMULA__ be algebraic varieties .
22) More specifically, she works on the study of the topology of complex algebraic varieties .
23) Fano varieties can be considered the algebraic varieties which are most similar to projective space.
24) Classical algebraic varieties are the quasiprojective integral separated finite type schemes over an algebraically closed field.
25) The term "variety of algebras" should not be confused with " algebraic variety ".
26) One of the earliest examples of a non-quasiprojective algebraic variety were given by Nagata.
27) This terminology comes from the fact that the algebraic variety of the solutions has dimension zero.
28) Schemes are likewise glued together from affine schemes, which are a generalization of algebraic varieties .
How to use algebraic variety in a sentence
29) So the minimal model conjecture would give strong information about the birational classification of algebraic varieties .30) The structure of the group is inherited from the divisor group of the underlying algebraic variety .
31) The study of the real points of an algebraic variety is the subject of real algebraic geometry.
32) Algebraic varieties and schemes: Non-singular algebraic varieties over the real or complex numbers are manifolds.
33) Algebraic varieties and schemes: Non-singular algebraic varieties over the real or complex numbers are manifolds.
34) The Zariski topology is defined algebraically on the spectrum of a ring or an algebraic variety .
35) When a complex torus carries the structure of an algebraic variety , this structure is necessarily unique.
36) In order to prove this, we need to build up some birational invariants of algebraic varieties .
37) In his "Foundations of algebraic Geometry", Weil defined an abstract algebraic variety using valuations.
38) It consists essentially in developing algorithms and software for studying and finding the properties of explicitly given algebraic varieties .
39) It follows from the existence of the Plücker embedding that the Grassmannian is complete as an algebraic variety .
40) This led to conjecture a similar statement for all algebraic varieties ; the resulting Weil conjectures were proven by .
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