Endrass surface explained

In algebraic geometry, an Endrass surface is a nodal surface of degree 8 with 168 real nodes, found by . This is the most real nodes known for its degree; however, the best proven upper bound, 174, does not match the lower bound given by this surface.^{[1] [2]}

See also

• Barth surface
• Sarti surface
• Togliatti surface

Notes and References

1. Book: Geometric Modeling and Algebraic Geometry. Bert. Jüttler. Ragni. Piene. Springer. 2007. 9783540721857. Real line arrangements and surfaces with many real nodes. 47–54. math/0507234. https://books.google.com/books?id=1wNGq87gWykC&pg=PA47. Sonja. Breske. Oliver. Labs. Duco. van Straten. 2005math......7234B.
2. Miyaoka . Yoichi. Yoichi Miyaoka . 10.1007/BF01456083 . 2 . . 744605 . 159–171 . The maximal number of quotient singularities on surfaces with given numerical invariants . 268 . 1984.