algebraic surface

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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.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
Artin, Some numerical criteria for contractability of curves on algebraic surfaces, Amer.
Fujita, Fractionally logarithmic canonical rings of algebraic surfaces, J.
Goto, A Public-key Cryptosystem using Algebraic Surfaces: Extended Abstract, PQCrypto Workshop Record, 2006.
SILHOL, Real algebraic surfaces, Lecture Notes in Math.
(3.) Botana, F., Automatic determination of algebraic surfaces as loci of points, Lecture Notes in Computer Science, 2657, Springer, 2003
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.
Using this result, new methods for blending several algebraic surfaces simultaneously are derived.
Liedtke, Algebraic surfaces of general type with small [c.sup.2.sub.1] in positive characteristic, Nagoya Math.
Moreover, all known values of Seshadri constants on algebraic surfaces are rational.
As applications, we give some results supplementary to the theory of algebraic surfaces in arbitrary characteristic.
[12] Szemberg, T., Tutaj-Gasinska, H.: Seshadri fibrations on algebraic surfaces, Ann.