decomposable 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.
Title | decomposable curve |
---|---|
Canonical name | DecomposableCurve |
Date of creation | 2013-03-22 19:19:38 |
Last modified on | 2013-03-22 19:19:38 |
Owner | pahio (2872) |
Last modified by | pahio (2872) |
Numerical id | 7 |
Author | pahio (2872) |
Entry type | Definition |
Classification | msc 08A40 |
Classification | msc 26A09 |
Related topic | Hyperbola2 |
Defines | decomposable |
Defines | decomposable surface |