White surface

In algebraic geometry, a White surface is one of the rational surfaces in Pⁿ studied by White (1923), generalizing cubic surfaces and Bordiga surfaces, which are the cases n = 3 or 4.

A White surface in Pⁿ is given by the embedding of P² blown up in n(n + 1)/2 points by the linear system of degree n curves through these points.

References

• White, F. P. (1923), "On certain nets of plane curves", Proceedings of the Cambridge Philosophical Society, 22: 1–10, doi:10.1017/S0305004100000037

This page was last edited on 25 March 2018, at 22:20