# The Non-Singular Cubic Surfaces

@article{Baker1943TheNC, title={The Non-Singular Cubic Surfaces}, author={Henry Frederick Baker}, journal={Nature}, year={1943}, volume={151}, pages={39-40} }

THIS is a very remarkable monograph ; it is a direct product of war circumstances. After a curt verification of the existence (Cayley, Salmon, 1849) of a symmetrical system of twenty-seven lines, each met by five pairs of mutually intersecting lines, the author turns to a diagrammatic representation of the lines, by the joining segments of nine points which lie in threes on three coplanar concurrent lines. This is reached by considering how the lines would vary in a continuous deformation of…

## 90 Citations

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For every smooth (irreducible) cubic surface S we give an explicit construction of a representative for each of the 72 equivalence classes of determinantal representations. Equivalence classes (under…

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This paper provides a complete classification of k point pairs for which a chiral reconstruction exists and shows that for five generic point pairs, the chiral region is bounded by line segments in a Schlafli double six on a cubic surface with 27 real lines.