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algebraic surface

   Also found in: Wikipedia 0.01 sec.
algebraic surface [¦al·jə¦brā·ik ′sər·fəs]
(mathematics)
A subsetSof a complexn-space which consists of the set of complex solutions of a system of polynomial equations innvariables such thatSis a complex two-manifold in the neighborhood of most of its points.


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Topics include algebraic curve theory, algebraic surface theory, moduli space, automorphic forms, Mordell-Weil lattices and automorphisms of hyperkahler manifolds.
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.
 
 
 
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