algebraic geometry Algebraic geometry is a branch of mathematics which uses abstract algebraic techniques, mainly from commutative algebra, to solve geometry, geometrical problems. Classically, it studies zero of a function, zeros of multivariate polynomials; th ...

, a White surface is one of the

rational surface In algebraic geometry, a branch of mathematics Mathematics is a field of study that discovers and organizes methods, Mathematical theory, theories and theorems that are developed and Mathematical proof, proved for the needs of empirical sc ...

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 ...

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=

Mathematical Proceedings of the Cambridge Philosophical Society ''Mathematical Proceedings of the Cambridge Philosophical Society'' is a mathematical journal published by Cambridge University Press for the Cambridge Philosophical Society. It aims to publish original research papers from a wide range of pure ...

, volume=22, issue=1, year=1923, pages=1–10, doi=10.1017/S0305004100000037 Complex surfaces Algebraic surfaces