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", Mathematical Proceedings of the Cambridge Philosophical Society, 22 (1): 1–10, doi:10.1017/S0305004100000037

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