decomposable curve
An algebraic curve
is decomposable, if the polynomial
is in ; that is, if there are polynomials and with positive degree in such that
Example. The quadratic curve
(1) |
is decomposable, since the equation may be written
or equivalently
Thus the curve (1) consists of two intersecting lines.
Analogically, one can say that an algebraic surface
is decomposable, e.g. which consists of two parallel planes.