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About: Algebraic surface     Goto   Sponge   NotDistinct   Permalink

An Entity of Type : yago:WikicatSurfaces, within Data Space : dbpedia.org associated with source document(s)

Type: Thinggrapeyago:Artifact100021939yago:Object100002684yago:PhysicalEntity100001930yago:Surface104362025yago:Whole100003553yago:WikicatAlgebraicSurfacesyago:WikicatSurfaces New Facet based on Instances of this Class

In mathematics, an algebraic surface is an algebraic variety of dimension two. In the case of geometry over the field of complex numbers, an algebraic surface has complex dimension two (as a complex manifold, when it is non-singular) and so of dimension four as a smooth manifold. The theory of algebraic surfaces is much more complicated than that of algebraic curves (including the compact Riemann surfaces, which are genuine surfaces of (real) dimension two). Many results were obtained, however, in the Italian school of algebraic geometry, and are up to 100 years old.