Barth surface

From Wikipedia, the free encyclopedia
  (Redirected from Barth sextic)
Jump to: navigation, search
Real points of the Barth Sextic.
Barth Decic

In algebraic geometry, a Barth surface is one of the complex surfaces in 3 dimensions with large numbers of double points found by Wolf Barth (1996). Two examples are the Barth sextic of degree 6 with 65 double points, and the Barth decic of degree 10 with 345 double points.

Some admit icosahedral symmetry.

For degree 6 surfaces in P3, (Jaffe & Ruberman 1997) showed that 65 is the maximum number of double points possible.

See also[edit]

References[edit]

  • Barth, W. (1996), "Two projective surfaces with many nodes, admitting the symmetries of the icosahedron", Journal of Algebraic Geometry 5 (1): 173–186, MR 1358040 .
  • Jaffe, David B.; Ruberman, Daniel (1997), "A sextic surface cannot have 66 nodes", Journal of Algebraic Geometry 6 (1): 151–168, MR 1486992 .

External links[edit]