Assertion: algebraic curve | /r/HasProperty | the set of the points
Facets:
value: in a projective plane
type: LOCATION
value: simply
type: MANNER
value: in c2
type: LOCATION
Source sentences:
text: An algebraic curve in the Euclidean plane is the set of the points whose coordinates are the solutions of a bivariate polynomial equation p(x, y) = 0.
text: The algebraic curve corresponding to the function field is simply the set of points (x, y) in C2 satisfying y2 = x3 −
text: An algebraic curve in the projective plane or plane projective curve is the set of the points in a projective plane whose projective coordinates are zeros of a homogeneous polynomial in three variables P(x, y, z).