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About: Barth surface     Goto   Sponge   NotDistinct   Permalink

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

Type: yago:WikicatComplexSurfacesyago:Artifact100021939yago:Object100002684yago:PhysicalEntity100001930yago:Surface104362025yago:Whole100003553yago:WikicatAlgebraicSurfaces New Facet based on Instances of this Class

In algebraic geometry, a Barth surface is one of the complex nodal surfaces in 3 dimensions with large numbers of double points found by Wolf Barth. Two examples are the Barth sextic of degree 6 with 65 double points, and the Barth decic of degree 10 with 345 double points. For degree 6 surfaces in P3, David Jaffe and Daniel Ruberman showed that 65 is the maximum number of double points possible.The Barth sextic is a counterexample to an incorrect claim by Francesco Severi in 1946 that 52 is the maximum number of double points possible.