reducible curve

reducible curve

[ri¦düs·ə·bəl ′kərv]
(mathematics)
A curve that can be shrunk to a point by a continuous deformation without passing outside a given region.
References in periodicals archive ?
A reducible curve f(x, y) = 0 has only finitely many singular points and they are all isolated points.
Among the topics are Koszul cohomology and its applications to moduli, intersection pairing in singular moduli spaces of bundles, arithmetic aspects of moduli spaces on sheaves with curves, and vector bundles on reducible curves and applications.
The next theorem follows from [FM10, Theorem 3.18] by a straight-forward extension of the inclusion-exclusion procedure of [FM10, Section 1] which was used to conclude [FM10, Corollary 1.9] (the non-relative count of reducible curves via floor diagrams) from [FM10, Theorem 1.6] (the non-relative count of irreducible curves via floor diagrams).