algebraic curve in a sentence
1) A hyperelliptic curve is a particular kind of algebraic curve .
algebraic collocations
2) Algebraic curves are the curves considered in algebraic geometry.
3) Every algebraic curve may be represented in this way.
algebraic curve example sentences
4) These definitions also apply to algebraic curves (see below).5) The statement for algebraic curves can be proved using Serre duality.
6) The simplest example of a skew algebraic curve is the twisted cubic.
7) The equation __FORMULA__ defines an algebraic curve , whose real part is empty.
8) Now, __FORMULA__ are intersection points of __FORMULA__ with an algebraic curve .
9) This can be generalized to curves of higher order as circular algebraic curves .
10) Lines are degree-1 algebraic curves .
11) For algebraic curves , computations may be simplified somewhat by converting to homogeneous coordinates.
12) In algebraic geometry, an algebraic curve is an algebraic variety of dimension one.
13) In particular, the non-singular complex projective algebraic curves are called Riemann surfaces.
14) Any complex nonsingular algebraic curve viewed as a complex manifold is a Riemann surface.
15) The study of algebraic curves can be reduced to the study of irreducible algebraic curves.
example sentences with algebraic curve
16) The study of algebraic curves can be reduced to the study of irreducible algebraic curves .17) Any complex algebraic curve or real algebraic surface is also a smooth surface, possibly with singularities.
18) A complex projective algebraic curve resides in "n"-dimensional complex projective space CP"n".
19) In analytic geometry, a conic may be defined as a plane algebraic curve of degree 2.
20) An algebraic curve likewise has topological dimension two; in other words, it is a surface.
21) The equation defining an algebraic curve expressed in polar coordinates is known as a "polar equation".
22) In the eighteenth century came the beginnings of the theory of plane algebraic curves , in general.
23) Isaac Barrow and James Gregory made further progress: quadratures for some algebraic curves and spirals.
24) This is how the theory could be applied to the local zeta-function of an algebraic curve .
25) A point of the plane belongs to an algebraic curve if its coordinates satisfy a given polynomial equation.
26) Bezout's theorem says we will get 2 intersections since a circle is a degree-2 algebraic curve .
27) Geometrically, twisted modules can be attached to branch points on an algebraic curve with a ramified Galois cover.
28) It is a subtle point even today that a real algebraic plane curve cannot enter a disk without leaving.
How to use algebraic curve in a sentence
29) Each of these early developments in algebraic geometry dealt with questions of finding and describing the intersections of algebraic curves .30) The analogue of a Riemann surface is a non-singular algebraic curve "C" over a field "k".
31) In the context of algebraic geometry, the notion of branch points can be generalized to mappings between arbitrary algebraic curves .
32) However, in the case of algebraic curves it is very common to consider number systems more general than the reals.
33) PSL groups arise as Hurwitz groups (automorphism groups of Hurwitz surfaces - algebraic curves of maximal possibly symmetry group).
34) On the other hand, the sinusoid is certainly not an algebraic curve , having an infinite number of monotone arcs.
35) 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.
36) Riemann constructed a smooth Riemann surface from the function field of a complex algebraic curve , which gives a resolution of its singularities.
37) Every algebraic curve has a unique nonsingular projective model, which means that all resolution methods are essentially the same because they all construct this model.
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