algebraic geometry Algebraic geometry is a branch of mathematics, classically studying zeros of multivariate polynomials. Modern algebraic geometry is based on the use of abstract algebraic techniques, mainly from commutative algebra, for solving geometrical ...

, a White surface is one of the

rational surface In algebraic geometry, a branch of mathematics, a rational surface is a surface birational geometry, birationally equivalent to the projective plane, or in other words a rational variety of dimension two. Rational surfaces are the simplest of the 1 ...

s in ''P''^''n'' studied by , generalizing

cubic surface In mathematics, a cubic surface is a surface in 3-dimensional space defined by one polynomial equation of degree 3. Cubic surfaces are fundamental examples in algebraic geometry. The theory is simplified by working in projective space rather than a ...

s and Bordiga surfaces, which are the cases ''n'' = 3 or 4. A White surface in ''P''^''n'' is given by the embedding of ''P''² blown up in ''n''(''n'' + 1)/2 points by the linear system of degree ''n'' curves through these points.

References

*{{citation, first=F. P. , last=White, title=On certain nets of plane curves, journal=Proceedings of the Cambridge Philosophical Society, volume=22, year=1923, pages=1–10, doi=10.1017/S0305004100000037 Complex surfaces Algebraic surfaces