algebraic surface

(redirected from Algebraic surfaces)
Also found in: Wikipedia.

algebraic surface

[¦al·jə¦brā·ik ′sər·fəs]
(mathematics)
A subset S of a complex n-space which consists of the set of complex solutions of a system of polynomial equations in n variables such that S is a complex two-manifold in the neighborhood of most of its points.
References in periodicals archive ?
Shigefumi Mori, 39, of Kyoto University, has devoted much of his career to pioneering methods of classifying certain kinds of surfaces defined by algebraic equations, thereby extending the classical theory of algebraic surfaces to three dimensions.